What is factor 16x^4+32x^3-24x^2 ?

The solution to factor 16x^4+32x^3-24x^2 is 8x^2(2x^2+4x-3)

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factor 16x^4+32x^3-24x^2

factor

16 x^{4} + 32 x^{3} - 24 x^{2}

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

Solution steps

16 x^{4} + 32 x^{3} - 24 x^{2}

Apply exponent rule:

a^{b + c} = a^{b} a^{c}

x^{3} = x x^{2}

= 16 x^{2} x^{2} + 32 x x^{2} - 24 x^{2}

Rewrite

16

8 \cdot 2

Rewrite

32

8 \cdot 4

= 8 \cdot 2 x^{2} x^{2} + 8 \cdot 4 x x^{2} - 8 \cdot 3 x^{2}

Factor out common term

8 x^{2}

= 8 x^{2} (2 x^{2} + 4 x - 3)

(2 x^{2} - 3 y^{3})^{2}

\frac{1}{12} + \frac{7}{15}

\frac{11}{12} - \frac{3}{4}

\frac{3 ^{3}}{3 ^{4}}

3 x + x^{2} - 10

What is factor 16x^4+32x^3-24x^2 ?
The solution to factor 16x^4+32x^3-24x^2 is 8x^2(2x^2+4x-3)