Question

evaluate 105*95 using suitable identitie​

Answer 1

105×95=(100+5)(100-5)=(100)^2-(5)^2=10000-25=9975

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

Answer 2

The given data in the above question,

It is given that the value is (105 x 95)

we have to evaluate the given equation we get.

Thus, evaluation of the given value we get,

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

We can re write the given value as above,

Identities is comparing two expression we get.

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

Substituting the value in above equation we get,

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

Therefore the value after evaluate we get 9975.

Note:-evaluate 105x95 using suitable identitie​