Q2 of 105 Page 274

Factories the following

x2– 81

In given expression


Both terms are perfect square


x2 = x × x


81 = 9 × 9


x2 – 81 Seems to be in identity a2-b2 = (a + b)(a-b)


Where a = x and b = 9;


x2 – 81 = (x-9)(x + 9)


Hence the factors of x2 – 81 are (x-9) and (x-9)


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