Question
Simplify the following using the identities: $\frac{8.63×8.63−1.37\times1.37}{0.726}$
✓
Answer
Let us consider the following expression:
$\frac{8.63\times 8.63−1.37\times1.37}{0.726}=\frac{8.63^2−1.37^2}{0.726}$
Using the identity $(a + b) (a - b) = a^2- b^2$
$\frac{8.63\times 8.63−1.37\times1.37}{0.726}=\frac{8.63^2−1.37^2}{0.726}$
$=\frac{(8.63+1.37)(8.63−1.37)}{0.726}$
$\frac{8.63\times 8.63−1.37\times1.37}{0.726}=\frac{(8.63+1.37)(8.63−1.37)}{0.726}$
$\frac{8.63\times 8.63−1.37\times1.37}{0.726}=\frac{10\times 7.26}{0.726}$
$\frac{8.63\times 8.63−1.37\times 1.37}{0.726}=100$
Thus, the answer is $100$.
$\frac{8.63\times 8.63−1.37\times1.37}{0.726}=\frac{8.63^2−1.37^2}{0.726}$
Using the identity $(a + b) (a - b) = a^2- b^2$
$\frac{8.63\times 8.63−1.37\times1.37}{0.726}=\frac{8.63^2−1.37^2}{0.726}$
$=\frac{(8.63+1.37)(8.63−1.37)}{0.726}$
$\frac{8.63\times 8.63−1.37\times1.37}{0.726}=\frac{(8.63+1.37)(8.63−1.37)}{0.726}$
$\frac{8.63\times 8.63−1.37\times1.37}{0.726}=\frac{10\times 7.26}{0.726}$
$\frac{8.63\times 8.63−1.37\times 1.37}{0.726}=100$
Thus, the answer is $100$.
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