What is factor 2x^4+8x^3+8x^2 ?

The solution to factor 2x^4+8x^3+8x^2 is 2x^2(x+2)^2

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factor 2x^4+8x^3+8x^2

factor

2 x^{4} + 8 x^{3} + 8 x^{2}

2 x^{2} (x + 2)^{2}

Solution steps

2 x^{4} + 8 x^{3} + 8 x^{2}

Factor out common term

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

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

Factor

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

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

Apply exponent rule:

aa = a^{2}

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

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

\frac{3 - 1}{2 2}

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

\frac{1}{8} \times 16

1.01 5^{12}

(14 sin (y))^{2}

What is factor 2x^4+8x^3+8x^2 ?
The solution to factor 2x^4+8x^3+8x^2 is 2x^2(x+2)^2