What is expand 4k^2(-3k^2-4k+5) ?

The solution to expand 4k^2(-3k^2-4k+5) is -12k^4-16k^3+20k^2

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expand 4k^2(-3k^2-4k+5)

expand

4 k^{2} (- 3 k^{2} - 4 k + 5)

- 12 k^{4} - 16 k^{3} + 20 k^{2}

Solution steps

4 k^{2} (- 3 k^{2} - 4 k + 5)

Apply the distributive law:

m (a + b + c) = ma + mb + m c

4 k^{2} (- 3 k^{2} - 4 k + 5) = 4 k^{2} (- 3 k^{2}) + 4 k^{2} (- 4 k) + 4 k^{2} \cdot 5

= 4 k^{2} (- 3 k^{2}) + 4 k^{2} (- 4 k) + 4 k^{2} \cdot 5

Simplify

4 k^{2} (- 3 k^{2}) + 4 k^{2} (- 4 k) + 4 k^{2} \cdot 5 : - 12 k^{4} - 16 k^{3} + 20 k^{2}

= - 12 k^{4} - 16 k^{3} + 20 k^{2}

\frac{7}{x} - \frac{5}{y}

3 \cdot 1 \frac{1}{2}

1 \frac{2}{7}

\frac{8 20}{2 - 7 2}

(z^{3})^{2}

What is expand 4k^2(-3k^2-4k+5) ?
The solution to expand 4k^2(-3k^2-4k+5) is -12k^4-16k^3+20k^2