factorise xpower3+13xpower2+32x+20
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Answer:
Solution :-
➜ x³ + 13x² + 32x + 20
➞ x³ + x² + 12x² + 12x + 20x + 20
➞ x²(x + 1) + 12x(x + 1) + 20(x + 1)
➞ (x + 1) (x² + 12x + 20)
➞ (x + 1) {x² + (10 + 2)x + 20}
➞ (x + 1) (x² + 10x + 2x + 20)
➞ (x + 1) {x(x + 10) + 2(x + 10)}
➞ (x + 1) ((x + 10) (x + 2)
∴ The answer of this question is
(x + 1) (x + 10) (x + 2)