What is expand (5x^2+x)^2(x-1) ?

The solution to expand (5x^2+x)^2(x-1) is 25x^5-15x^4-9x^3-x^2

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expand (5x^2+x)^2(x-1)

expand

(5 x^{2} + x)^{2} (x - 1)

25 x^{5} - 15 x^{4} - 9 x^{3} - x^{2}

Solution steps

(5 x^{2} + x)^{2} (x - 1)

Expand

(5 x^{2} + x)^{2} : 25 x^{4} + 10 x^{3} + x^{2}

= (25 x^{4} + 10 x^{3} + x^{2}) (x - 1)

Distribute parentheses

= 25 x^{4} x + 25 x^{4} (- 1) + 10 x^{3} x + 10 x^{3} (- 1) + x^{2} x + x^{2} (- 1)

Simplify

25 x^{4} x + 25 x^{4} (- 1) + 10 x^{3} x + 10 x^{3} (- 1) + x^{2} x + x^{2} (- 1) : 25 x^{5} - 15 x^{4} - 9 x^{3} - x^{2}

= 25 x^{5} - 15 x^{4} - 9 x^{3} - x^{2}

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

(2 n + 3) (n - 2)

(- 3 i) + (3 + 5 i)

5 a + 6 a^{2} + 7 a^{0} - 4 a^{2} - 9 a

(3 - 6 i) (3 + 6 i)

What is expand (5x^2+x)^2(x-1) ?
The solution to expand (5x^2+x)^2(x-1) is 25x^5-15x^4-9x^3-x^2