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Popular >

factor 4x^3-12x^2+16

Solution

factor

4 x^{3} - 12 x^{2} + 16

Solution

4 (x + 1) (x - 2)^{2}

Solution steps

4 x^{3} - 12 x^{2} + 16

Factor out common term

4 : 4 (x^{3} - 3 x^{2} + 4)

= 4 (x^{3} - 3 x^{2} + 4)

Factor

x^{3} - 3 x^{2} + 4 : (x + 1) (x - 2) (x - 2)

= 4 (x + 1) (x - 2) (x - 2)

Apply exponent rule:

aa = a^{2}

(x - 2) (x - 2) = (x - 2)^{2}

= 4 (x + 1) (x - 2)^{2}

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Frequently Asked Questions (FAQ)

What is factor 4x^3-12x^2+16 ?
The solution to factor 4x^3-12x^2+16 is 4(x+1)(x-2)^2