Algebraic Expressions and Identities — MATHS STD 8 — Question
Gujarat BoardEnglish MediumSTD 8MATHSAlgebraic Expressions and Identities3 Marks
Question
$113 \times 87$
✓
Answer
Here, we will use the identity $(a - b) (a + b) = a^2- b^2$
Let us consider the following expression:
$113 × 87$
$\because\frac{113+87}{2}=\frac{200}{2}=100,$ therefore, we will write the above product as:
$113 × 87$
$= (100 + 13) (100 - 13)$
$= (100)^2- (13)^2$
$= 10000 - 169$
$= 9831$
Thus, the answer is $9831$
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