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Factorisation Using Algebraic Identities

In the questi...

Question

Question 45

In the question given below, fill in the blank to make the statement true:

Factorised form of $4 y^{2} - 12 y + 9$ is ___

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Solution

$(2 y - 3) (2 y - 3)$
Let
$4 y^{2} - 12 y + 9$ $= (2 y)^{2} - 2 \times 2 y \times 3 + 3^{2} = (2 y - 3)^{2} [∵ (a - b)^{2} = a^{2} - 2 a b + b^{2}] = (2 y - 3) (2 y - 3)$

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Factorisation Using Algebraic Identities

Standard VIII Mathematics

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