Question

evaluate using suitable identity (105×95)​

Answer 1

Hii ☺️

you are welcome in my ans

(100 + 5)95

= 9500 + 475

= 9975

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Hope it may helps you

Answer 2

According to the information provided in the question.

It is stated in the preceding question that,

The presented information is (105 x 95).

To evaluate the given equation by identity method,

Thus, identity is to compare one equation with another equation we get,

$(105\times 95)=(100+5)(100-5)$

comparing with identity we get,

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

Solving further we get,

$\begin{aligned}105 \times 95 &=(100+5)(100-5) \\&=(100)^{2}-(5)^{2} \\&=10000-25 \\&=9975\end{aligned}$

Hence the value is 9975.