What is expand 7x^2(x^4-3x^3-x^2+2x-5) ?

The solution to expand 7x^2(x^4-3x^3-x^2+2x-5) is 7x^6-21x^5-7x^4+14x^3-35x^2

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expand 7x^2(x^4-3x^3-x^2+2x-5)

expand

7 x^{2} (x^{4} - 3 x^{3} - x^{2} + 2 x - 5)

7 x^{6} - 21 x^{5} - 7 x^{4} + 14 x^{3} - 35 x^{2}

Solution steps

7 x^{2} (x^{4} - 3 x^{3} - x^{2} + 2 x - 5)

Distribute parentheses

= 7 x^{2} x^{4} + 7 x^{2} (- 3 x^{3}) + 7 x^{2} (- x^{2}) + 7 x^{2} \cdot 2 x + 7 x^{2} (- 5)

Simplify

7 x^{2} x^{4} + 7 x^{2} (- 3 x^{3}) + 7 x^{2} (- x^{2}) + 7 x^{2} \cdot 2 x + 7 x^{2} (- 5) : 7 x^{6} - 21 x^{5} - 7 x^{4} + 14 x^{3} - 35 x^{2}

= 7 x^{6} - 21 x^{5} - 7 x^{4} + 14 x^{3} - 35 x^{2}

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

(x + 6) (x + 8)

(3 x + 1) (x^{2} + 2 x - 10)

\frac{4 mn - 8 m ^{2} n - 2 mn}{2 mn}

(a + 4) (a - 4)

What is expand 7x^2(x^4-3x^3-x^2+2x-5) ?
The solution to expand 7x^2(x^4-3x^3-x^2+2x-5) is 7x^6-21x^5-7x^4+14x^3-35x^2