(7.5 times 7.5 + 37.5 + 2.5 times 2.5) is equ | vedclass

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Question

(D) The expression is $(7.5 	imes 7.5 + 37.5 + 2.5 	imes 2.5)$.We can rewrite $37.5$ as $2 	imes 7.5 	imes 2.5$ because $2 	imes 7.5 = 15$ and $1

Vedclass · Accepted Answer

$100$

Vedclass · Answer

(D) The expression is $(7.5 	imes 7.5 + 37.5 + 2.5 	imes 2.5)$.We can rewrite $37.5$ as $2 	imes 7.5 	imes 2.5$ because $2 	imes 7.5 = 15$ and $15 	imes 2.5 = 37.5$.Thus,the expression becomes $(7.5)^2 + 2(7.5)(2.5) + (2.5)^2$.This is in the form of the algebraic identity $a^2 + 2ab + b^2 = (a + b)^2$,where $a = 7.5$ and $b = 2.5$.Substituting the values,we get $(7.5 + 2.5)^2 = (10)^2 = 100$.

$(7.5 \times 7.5 + 37.5 + 2.5 \times 2.5)$ is equal to

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