Question

Factorise : 8x
³ − 36x²+ 54x − 19​

Answer 1

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Given:

8x³ - 36x² + 54x - 19.

Find:

Factories the given.

Calculations:

⇢ 8x³ - 36x² + 54x - 19

⇢ 8x³ - 36x² + 54x - 19

⇢ (2x - 1) (4x² - 16x + 19)

Therefore, (2x - 1) (4x² - 16x + 19) is the required answer.

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Answer 2

STEP1 :

Equation at the end of step 1

(((8 • (x3)) + 27) + (22•32x2)) + 54x

STEP 2 :

Equation at the end of step 2:

((23x3 + 27) + (22•32x2)) + 54x

STEP3:

Checking for a perfect cube

3.1 Factoring: 8x3+36x2+54x+27

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8x3+36x2+54x+27 is a perfect cube which means it is the cube of another polynomial

In our case, the cubic root of 8x3+36x2+54x+27 is 2x+3

Factorization is (2x+3)3

Final result :

(2x + 3)3