Algebraic Expressions and Identities — MATHS STD 8 — Question
Gujarat BoardEnglish MediumSTD 8MATHSAlgebraic Expressions and Identities3 Marks
Question
$197 \times 203$
✓
Answer
Here, we will use the identity $(a - b) (a + b) = a^2- b^2$
Let us consider the following expression:
$197 \times 203$
$\because\frac{197+203}{2}=\frac{400}{2}=200,$ therefore, we will write the above product as:
$197 \times 203$
$= (200 - 3)(200 + 3)$
$= (200)^2- (3)^2$
$= 40000 - 9$
$= 39991$
Thus, the answer is $39991$
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