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Gyaan Maths
CBSE · Class 6-12
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Class 8 · Ganita Prakash
Unit 6 · Class 8Ganita Prakash
We Distribute, Yet Things Multiply
Algebraic identities, expansion, and factorisation.
Lessons
3 concepts
1
Identity Expansion
Memorise the three main identities. They save time in algebra and problem-solving.
2
Factorisation Strategies
Look for common factors first. Try identity patterns. For trinomials
a
x
2
+
b
x
+
c
ax^2+bx+c
a
x
2
+
b
x
+
c
: split middle term.
3
Split-the-Middle-Term
For
x
2
+
7
x
+
12
x^2+7x+12
x
2
+
7
x
+
12
: find two numbers with product 12, sum 7: 3 and 4. So
(
x
+
3
)
(
x
+
4
)
(x+3)(x+4)
(
x
+
3
)
(
x
+
4
)
.
Skills to practise
Skill · medium
We Distribute, Yet Things Multiply — Practice