Question

evalute 105×95 using suitable identity.​

Answer 1

Step 1 : (100+5) × (100 -5)

Step 2: 100²-5²

Step 3: 10,000 - 25

Step 4: 9975

Step-by-step explanation:

By using (a+b) × (a-b) = a²-b²

Answer 2

According to the information provided in the question.

It is stated in the preceding question that,

The presented information is $105\times 95$

We need to evaluate 105×95 using suitable identity.

As a result, the identity is comparing one expression with other,

Given value can be written as,

$(105\times 65)=(100+5)(100-5)$

Comparing we get,

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

Further solving we get,

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

Hence after evaluation we get, 9975.