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Factorisation Using Algebraic Identities

Factorise 4...

Question

Factorise $4 p^{2} - 9 q^{2}$

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Solution

$4 p^{2} - 9 q^{2}$
$\Rightarrow (2 p)^{2} - (3 q)^{2}$ $[a^{2} - b^{2} = (a + b) (a - b)]$
$\Rightarrow (2 p + 3 q) (2 p - 3 q)$

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Similar questions

Q. Question 2(i)
Factorise

4 p^{2} - 9 q^{2}

4 p^{2} - 9 q^{2}

Q. Find the factors of the following expression:

4 p^{2} - 9 q^{2}

State whether the following statement is true or false:

{(2 p - 3 q)}^{2}

4 p^{2} + 9 q^{2} - 12 p q

x + 2 p + 3 q = 14

2 x p + 6 p q + 3 q x = 4

, find the value of

x^{2} + 4 p^{2} + 9 q^{2} .

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Factorisation Using Algebraic Identities

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