What is expand (x^2+3x+2)(3x^2+7x-10) ?

The solution to expand (x^2+3x+2)(3x^2+7x-10) is 3x^4+16x^3+17x^2-16x-20

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expand (x^2+3x+2)(3x^2+7x-10)

expand

(x^{2} + 3 x + 2) (3 x^{2} + 7 x - 10)

3 x^{4} + 16 x^{3} + 17 x^{2} - 16 x - 20

Solution steps

(x^{2} + 3 x + 2) (3 x^{2} + 7 x - 10)

Distribute parentheses

= x^{2} \cdot 3 x^{2} + x^{2} \cdot 7 x + x^{2} (- 10) + 3 x \cdot 3 x^{2} + 3 x \cdot 7 x + 3 x (- 10) + 2 \cdot 3 x^{2} + 2 \cdot 7 x + 2 (- 10)

Simplify

x^{2} \cdot 3 x^{2} + x^{2} \cdot 7 x + x^{2} (- 10) + 3 x \cdot 3 x^{2} + 3 x \cdot 7 x + 3 x (- 10) + 2 \cdot 3 x^{2} + 2 \cdot 7 x + 2 (- 10) : 3 x^{4} + 16 x^{3} + 17 x^{2} - 16 x - 20

= 3 x^{4} + 16 x^{3} + 17 x^{2} - 16 x - 20

(4 x^{5} - y)^{2}

b b^{4}

4 m^{4} - 25 n^{2}

\frac{x ^{- 4} - x ^{- 1}}{x ^{- 3} - 1}

(x + 10) (x - 5)

What is expand (x^2+3x+2)(3x^2+7x-10) ?
The solution to expand (x^2+3x+2)(3x^2+7x-10) is 3x^4+16x^3+17x^2-16x-20