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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Question 45

In the following question, fill in the blanks to make the statements true.

$[2^{- 1} + 3^{- 1} + 4^{- 1}]^{0} =$ ___

(a + b)^{2} - 2 a b =

103^{2} - 102^{2} =

\times (103 - 102) =

a^{2} - b^{2} = (a + b)

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