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Factors

Using a2-b2=a...

Question

Using $a^{2} - b^{2} = (a + b) (a - b),$ find
$52^{2} - 48^{2}$

A

200

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B

300

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C

310

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D

400

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Solution

The correct option is D $400$
$52^{2} - 48^{2} = (52 + 48) (52 - 48)$
$[U s i n g i d e n t i t y (a - b) (a + b) = a^{2} - b^{2}]$
$= 100 \times 4 = 400$

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Using $a^{2} - b^{2} = (a + b) (a - b),$ find
$51^{2} - 49^{2}$ .

a^{2} - b^{2} = (a + b) (a - b)

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51^{2} - 49^{2}

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