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# Simplify the Following Using the Formula: (A − B)(A + B) = A2 − B2: 113 × 87 - Mathematics

Answer in Brief

Simplify the following using the formula: (a − b)(a + b) = a2 − b2: 113 × 87

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#### Solution

Here, we will use the identity  $(a - b)(a + b) = a^2 - b^2$

Let us consider the following product: $113 \times 87$

$\because \frac{113 + 87}{2} = \frac{200}{2} = 100$ therefore, we will write the above product as:

$113 \times 87$

$= \left( 100 + 13 \right)\left( 100 - 13 \right)$

$= \left( 100 \right)^2 - \left( 13 \right)^2$

$= 10000 - 169$

$= 9831$

Thus, the answer is 9831.

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#### APPEARS IN

RD Sharma Class 8 Maths
Chapter 6 Algebraic Expressions and Identities
Exercise 6.6 | Q 4.5 | Page 43
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