What is expand (2x-3)(x^2+6x+10) ?

The solution to expand (2x-3)(x^2+6x+10) is 2x^3+9x^2+2x-30

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expand (2x-3)(x^2+6x+10)

expand

(2 x - 3) (x^{2} + 6 x + 10)

2 x^{3} + 9 x^{2} + 2 x - 30

Solution steps

(2 x - 3) (x^{2} + 6 x + 10)

Distribute parentheses

= 2 x x^{2} + 2 x \cdot 6 x + 2 x \cdot 10 - 3 x^{2} - 3 \cdot 6 x - 3 \cdot 10

Simplify

2 x x^{2} + 2 x \cdot 6 x + 2 x \cdot 10 - 3 x^{2} - 3 \cdot 6 x - 3 \cdot 10 : 2 x^{3} + 9 x^{2} + 2 x - 30

= 2 x^{3} + 9 x^{2} + 2 x - 30

\frac{a ^{3} b ^{2}}{a b ^{3}}

\frac{8 ( - x ) ^{2} + 9}{( - x ) ^{2}}

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

(- 10 - 3 i) + (- 7 - 5 i)

(- 2 - 4 i) (- 6 - 4 i)

What is expand (2x-3)(x^2+6x+10) ?
The solution to expand (2x-3)(x^2+6x+10) is 2x^3+9x^2+2x-30