What is expand (2x^2+3)(4x+5)-8x(x^2-2) ?

The solution to expand (2x^2+3)(4x+5)-8x(x^2-2) is 10x^2+28x+15

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expand (2x^2+3)(4x+5)-8x(x^2-2)

expand

(2 x^{2} + 3) (4 x + 5) - 8 x (x^{2} - 2)

10 x^{2} + 28 x + 15

Solution steps

(2 x^{2} + 3) (4 x + 5) - 8 x (x^{2} - 2)

Expand

(2 x^{2} + 3) (4 x + 5) : 8 x^{3} + 10 x^{2} + 12 x + 15

= 8 x^{3} + 10 x^{2} + 12 x + 15 - 8 x (x^{2} - 2)

Expand

- 8 x (x^{2} - 2) : - 8 x^{3} + 16 x

= 8 x^{3} + 10 x^{2} + 12 x + 15 - 8 x^{3} + 16 x

Simplify

8 x^{3} + 10 x^{2} + 12 x + 15 - 8 x^{3} + 16 x : 10 x^{2} + 28 x + 15

= 10 x^{2} + 28 x + 15

48 \cdot 72

\frac{3 a + 6}{5 a ^{2} + 7 a - 6} - \frac{5}{3 a}

- 5 + (- 8)

\frac{15 x ^{2} y \cdot ( - 6 ) x ^{7} y}{( 3 x y ) ^{2}}

\frac{20 x ^{5} y}{4 x y ^{8}}

What is expand (2x^2+3)(4x+5)-8x(x^2-2) ?
The solution to expand (2x^2+3)(4x+5)-8x(x^2-2) is 10x^2+28x+15