5 min read
Multiply
(ab)(cd)=ac/bd. Factor everything first so canceling is safe. x2-9x2+2x xx+3 becomes x-3x+2 after canceling x and (x+3).
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Multiply
What is it?
(ab)(cd)=ac/bd. Factor everything first so canceling is safe. x2-9x2+2x xx+3 becomes x-3x+2 after canceling x and (x+3).
In simple words
- (ab)*(cd)=ac/bd.
- factor first
- times: ad/bc wait no - ac/bd
- divide: times reciprocal
Important terms
Multiply: (ab)(cd)=ac/bd. Factor everything first so canceling is safe. x2-9x2+2x xx+3 becomes x-3x+2 after canceling x and (x+3).
What you should learn
- Define and explain multiply.
- Apply multiply to a focused FBISE question.
- Check the answer for correct terms, evidence, working, and units.
Examples
- factor first
- times: ad/bc wait no - ac/bd
- divide: times reciprocal
CORE UNDERSTANDING
(ab)(cd)=ac/bd. Factor everything first so canceling is safe. x2-9x2+2x xx+3 becomes x-3x+2 after canceling x and (x+3).
EXAM APPLICATION
State the correct term, connect it to the chapter rule or evidence, and use a clear example or calculation.
Recommended for Class 10
Full school-level explanation
(ab)(cd)=ac/bd. Factor everything first so canceling is safe. x2-9x2+2x xx+3 becomes x-3x+2 after canceling x and (x+3).
Learn the idea, then use it:
WHAT — MULTIPLY
(ab)(cd)=ac/bd. Factor everything first so canceling is safe. x2-9x2+2x xx+3 becomes x-3x+2 after canceling x and (x+3).
HOW — Use the idea
Identify what is given, select this topic's rule or evidence, apply it one step at a time, and check the result.
CORE UNDERSTANDING
(ab)(cd)=ac/bd. Factor everything first so canceling is safe. x2-9x2+2x xx+3 becomes x-3x+2 after canceling x and (x+3).
Remember
- factor first
- times: ad/bc wait no - ac/bd
- divide: times reciprocal
Examples
- factor first
- times: ad/bc wait no - ac/bd
- divide: times reciprocal
- MULTIPLY: (ab)(cd)=ac/bd. Factor everything first so canceling is safe. x2-9x2+2x xx+3 becomes x-3x+2 after ca
EXAM APPLICATION
State the correct term, connect it to the chapter rule or evidence, and use a clear example or calculation.
Remember
- correct term
- chapter link
- clear application
Examples
- Define first
- Show the rule or evidence
- Check units, labels, and conclusion
Remember
- factor first
- times: ad/bc wait no - ac/bd
- divide: times reciprocal
- keep the ideas separate
- factor first
- times: ad/bc wait no - ac/bd
- divide: times reciprocal
- correct term
Deeper understanding
Go beyond memorising Multiply. Connect the definition to reasons, relationships, exceptions, and exam wording.
Common mistakes
Exam focus
Core Idea
Key Points
Simple Check
How to Answer
Exam focus
Quick revision
- factor first
- times: ad/bc wait no - ac/bd
- divide: times reciprocal
- keep the ideas separate
- Multiply: (ab)(cd)=ac/bd. Factor everything first so canceling is safe. x2-9x2+2x xx+3 becomes
- WHAT — MULTIPLY: (ab)(cd)=ac/bd. Factor everything first so canceling is safe. x2-9x2+2x xx+3 becomes
Do not merge multiply with a neighbouring idea that uses a different definition, rule, or method.
For long answers on Multiply: define clearly → explain the main parts → give one example → state one exam caution.
Exam Focus
Exam Focus
Important points
- factor first
- times: ad/bc wait no - ac/bd
- divide: times reciprocal
- keep the ideas separate
Important formulas
- factor first
- times: ad/bc wait no - ac/bd
- divide: times reciprocal
Common exam traps
- Do not merge multiply with a neighbouring idea that uses a different definition, rule, or method.
- Do not invent a formula, fact, unit, or diagram label that the chapter does not support.
Long question structure
Definition → key parts → example → exam caution
Common Mistakes
Common Mistakes
- Mistake
Do not merge multiply with a neighbouring idea that uses a different definition, rule, or method.
- Mistake
Do not invent a formula, fact, unit, or diagram label that the chapter does not support.
- Mistake
Do not merge multiply with a neighbouring idea that uses a different definition, rule, or method.
Revision Zone
60-Second Revision
Quick cues from this topic — use them for last-minute revision.
factor first
times: ad/bc wait no - ac/bd
divide: times reciprocal
keep the ideas separate
(ab)(cd)=ac/bd. Factor everything first so canceling is safe. x2-9x2+2x xx+3 becomes x-3x+2 after canceling x and (x+3).
- Definition
- (ab)(cd)=ac/bd. Factor everything first so canceling is safe. x2-9x2+2x xx+3 becomes x-3x+2 after canceling x and (x+3).
- Example
- factor first
- Critical warning
- Do not merge multiply with a neighbouring idea that uses a different definition, rule, or method.
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Exam Practice
Define
Q1. Define Multiply.
Explain
Q2. Explain: CORE UNDERSTANDING.
Example
Q3. Give one clear example of Multiply and say why it fits.
Mistake
Q4. State one common mistake students make about Multiply.
Exam note
Q5. Write a short exam note on Multiply: definition, two points, one example.
Sources & References
School-standard facts for Matric and Intermediate. Original explanations — not copied from textbooks.