Simplify: $\frac{58^{2} - 42^{2}}{16}$

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Solution

$\frac{58^{2} - 42^{2}}{16}$
$= \frac{(58 - 42) (58 + 42)}{16}$
$= \frac{16 \times 100}{16} = 100$

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\frac{58^{2} - 42^{2}}{16} =

_______.

Simplify the following using the identities:

$(i) \frac{58^{2} - 42^{2}}{16} (i i) 178 \times 178 - 22 \times 22 (i i i) \frac{198 \times 198 - 102 \times 102}{96} (i v) 1.73 \times 1.73 - 0.27 \times 0.27 (v) \frac{8.63 \times 8.63 - 1.37 \times 1.37}{0.726}$

Q. If 422 + 630 = 1052 , then 630 + 422 =

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(16)^{\frac{- 1}{4}} x^{4} \sqrt{16}

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×

(− 16) + (− 17)

×

(− 16).

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Simplify:582−42216

582−42216=(58−42)(58+42)16=16×10016=100

Simplify: $\frac{58^{2} - 42^{2}}{16}$

$\frac{58^{2} - 42^{2}}{16}$
$= \frac{(58 - 42) (58 + 42)}{16}$
$= \frac{16 \times 100}{16} = 100$