Find the expansion of
(x + 5)(x – 3)(x – 1)
(x + 5)(x – 3)(x – 1)
Here the identity used is
(x + a)(x + b)(x + c) = x3 + (a + b + c) x2 + (ab + bc + ca)x + abc
∴ (x + 5)(x – 3)(x – 1)
= x3 + (5 – 3 – 1) x2 + (5(– 3) + (– 3)(– 1)(– 1)5)x + 5(– 3)(– 1)
= x3 + x2 + (– 15 + 3 – 5) x + 15
= x3 + x2 – 17x + 15
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Couldn't generate an explanation.
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