Question

Find the binomials which is a common factor of a²-4b²

Answer 1

Answer:

Explanation:

Find out the H.C.F. of x2 - 3x - 18 and x2 + 5x + 6 by factorization.

Solution:

First expression = x2 - 3x - 18

= x2 - 6x + 3x - 18, by splitting the middle term - 3x = - 6x + 3x

= x(x - 6) + 3(x - 6)

= (x - 6) (x + 3)

Second expression = x2 + 5x + 6

= x2 + 3x + 2x + 6, by splitting the middle term 5x = 3x + 2x

= x(x + 3) + 2(x + 3)

= (x + 3) (x + 2)

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