Question

Factorize:
x³+7x²-21x-27

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Answer 1

Step-by-step explanation:

the answer is given above

Answer 2

Answer:

Question :-

➠ x³ + 7x² - 21x - 27

Formula used :-

➪ a³ - b³

➭ (a - b) (a² + ab + b²)

Answer :-

➠ x³ + 7x² - 21x - 27

➻ x³ - 27 + 7x² - 21x

➻ (x)³ - (3)³ + 7x² - 21x

➻ (x - 3) {(x)² + x × 3 + (3)² } + 7x(x - 3)

➻ (x - 3) (x² + 3x + 9) + 7x(x - 3)

➻ (x - 3) (x² + 3x + 9 + 7x)

➻ (x - 3) (x² + 3x + 7x + 9)

➻ (x - 3) (x² + 10x + 9)

➻ (x - 3) {x² +(9 + 1)x + 9}

➻ (x - 3) {(x² + 9x + x + 9)}

➻ (x - 3) {x(x + 9) + 1(x + 9)}

➻ (x - 3) (x + 9) (x + 1)

∴ The value of x³ + 7x² - 21x - 27 is (x - 3) (x - 9) (x + 1)