What is expand 6x^2(-7x^2-8x+7) ?

The solution to expand 6x^2(-7x^2-8x+7) is -42x^4-48x^3+42x^2

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expand 6x^2(-7x^2-8x+7)

expand

6 x^{2} (- 7 x^{2} - 8 x + 7)

- 42 x^{4} - 48 x^{3} + 42 x^{2}

Solution steps

6 x^{2} (- 7 x^{2} - 8 x + 7)

Apply the distributive law:

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

6 x^{2} (- 7 x^{2} - 8 x + 7) = 6 x^{2} (- 7 x^{2}) + 6 x^{2} (- 8 x) + 6 x^{2} \cdot 7

= 6 x^{2} (- 7 x^{2}) + 6 x^{2} (- 8 x) + 6 x^{2} \cdot 7

Simplify

6 x^{2} (- 7 x^{2}) + 6 x^{2} (- 8 x) + 6 x^{2} \cdot 7 : - 42 x^{4} - 48 x^{3} + 42 x^{2}

= - 42 x^{4} - 48 x^{3} + 42 x^{2}

6 m + 4 - 3 mn + m + 5 - 8 mn + 6

27 a^{3} - 8

4 - \frac{16}{9}

2 (a) + 1

(x + 2)^{- 4}

What is expand 6x^2(-7x^2-8x+7) ?
The solution to expand 6x^2(-7x^2-8x+7) is -42x^4-48x^3+42x^2