Question 44

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

Factorised form of $18 m n + 10 m n p$ is ___

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Solution

$2 m n (9 + 5 p)$
We have, $18 m n + 10 m n p = 2 \times 9 \times m \times n + 2 \times 5 \times m \times n \times p = 2 m n (9 + 5 p)$
[taking 2mn as common]

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Question 44

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

$[4^{- 1} + 3^{- 1} + 6^{- 2}]^{- 1} =$ ___

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

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

\times (103 - 102) =

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

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