x2 - (a - b) x - ab is equal to:
(x - a) (x - b)
(x + a) (x - b)
(x - a) (x + b)
(x + a) (x + b)
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x2 - (a - b) x - ab
= x2 - ax + bx - ab
= (x2 - ax) + (bx - ab)
= x(x - a) + b(x - a)
= (x - a)(x + b)
Hence, option 3 is the correct option.
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x3 - x2 + ax + x - a - 1 is equal to:
(x — 1) (x2 + a - 1)
(x — 1) (x2 + a + 1)
(x — 1) (x2 - a + 1)
(x — 1) (x2 - a - 1)
8x3 - 18x is equal to:
x(2x + 3) (2x - 3)
2x(3 - 2x) (3 + 2x)
2x(2x + 3) (2x - 3)
x(4x + 6y) (4x - 6y)
Factorise :
8x2y - 18y3
25x3 - x