Match the correct factors of the following polynomials-

(x - 4) (x + 2)

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(x - 2) (x + 2)

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(2 x - 5) (2 x + 5)

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Solution

$(x - 2) (x + 2) = x^{2} + 2 x - 2 x - 4$
$= x^{2} - 4$

$(x - 4) (x + 2) = x^{2} + 2 x - 4 x - 8$
$= x^{2} - 2 x - 8$

$(2 x - 5) (2 x + 5) = 4 x^{2} + 10 x - 10 x - 25$
$= 4 x^{2} - 25$

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