Q. 705.0( 1 Vote )

# State whether the statements are true (T) or false (F).x2 + (a+b)x + ab = (a+b) (x+ab)

We need to factorize x2 + (a + b)x + ab, by splitting the middle term:

x2 + (a + b)x + ab = x2 + ax + bx + ab [, ax + bx = (a + b)x & ax × bx = abx2)

x2 + (a + b)x + ab = x(x + a) + b(x + a)

x2 + (a + b)x + ab = (x + a)(x + b)

And (x + a)(x + b) ≠ (a + b)(x + ab)

x2 + (a + b)x + ab ≠ (a + b)(x + ab)

Hence, the statement is false.

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