What is factor 56k^4-24k^3+40k^2 ?

The solution to factor 56k^4-24k^3+40k^2 is 8k^2(7k^2-3k+5)

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factor 56k^4-24k^3+40k^2

factor

56 k^{4} - 24 k^{3} + 40 k^{2}

8 k^{2} (7 k^{2} - 3 k + 5)

Solution steps

56 k^{4} - 24 k^{3} + 40 k^{2}

Apply exponent rule:

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

k^{3} = k k^{2}

= 56 k^{2} k^{2} - 24 k k^{2} + 40 k^{2}

Rewrite

56

8 \cdot 7

Rewrite

24

8 \cdot 3

= 8 \cdot 7 k^{2} k^{2} - 8 \cdot 3 k k^{2} + 8 \cdot 5 k^{2}

Factor out common term

8 k^{2}

= 8 k^{2} (7 k^{2} - 3 k + 5)

14 + 8 m = 14 - 3 m - 5 m

(x + 2)^{2} + 7 (x + 2) + 12 = 0

2 x = 2 x

\frac{5}{6} x - 2 x + \frac{4}{3} = \frac{5}{3}

6 x + 11 = 21

What is factor 56k^4-24k^3+40k^2 ?
The solution to factor 56k^4-24k^3+40k^2 is 8k^2(7k^2-3k+5)