What is expand (3x-5)(3x+2)(9x^2-9x-10) ?

The solution to expand (3x-5)(3x+2)(9x^2-9x-10) is 81x^4-162x^3-99x^2+180x+100

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expand (3x-5)(3x+2)(9x^2-9x-10)

expand

(3 x - 5) (3 x + 2) (9 x^{2} - 9 x - 10)

81 x^{4} - 162 x^{3} - 99 x^{2} + 180 x + 100

Solution steps

(3 x - 5) (3 x + 2) (9 x^{2} - 9 x - 10)

Expand

(3 x - 5) (3 x + 2) (9 x^{2} - 9 x - 10) : (9 x^{2} - 9 x - 10) (9 x^{2} - 9 x - 10)

= (9 x^{2} - 9 x - 10) (9 x^{2} - 9 x - 10)

Distribute parentheses

= 9 x^{2} \cdot 9 x^{2} + 9 x^{2} (- 9 x) + 9 x^{2} (- 10) - 9 x \cdot 9 x^{2} - 9 x (- 9 x) - 9 x (- 10) - 10 \cdot 9 x^{2} - 10 (- 9 x) - 10 (- 10)

Simplify

9 x^{2} \cdot 9 x^{2} + 9 x^{2} (- 9 x) + 9 x^{2} (- 10) - 9 x \cdot 9 x^{2} - 9 x (- 9 x) - 9 x (- 10) - 10 \cdot 9 x^{2} - 10 (- 9 x) - 10 (- 10) : 81 x^{4} - 162 x^{3} - 99 x^{2} + 180 x + 100

= 81 x^{4} - 162 x^{3} - 99 x^{2} + 180 x + 100

(e^{t} + 1)^{2}

(x - 5) (x + 5)

\frac{( 1 - x ) ^{3}}{3}

\frac{1}{( x - 3 ) ^{2}}

(2 sin (x) + 2 cos (x))^{2}

What is expand (3x-5)(3x+2)(9x^2-9x-10) ?
The solution to expand (3x-5)(3x+2)(9x^2-9x-10) is 81x^4-162x^3-99x^2+180x+100