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

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

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

simplify

(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

Group like terms

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

Add similar elements:

8 x^{3} - 8 x^{3} = 0

= 10 x^{2} + 12 x + 16 x + 15

Add similar elements:

12 x + 16 x = 28 x

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

4 \cdot 10

9 - (- 4)

5 lo g_{10} (x^{5})

lo g_{2} (3) + lo g_{2} (256) - lo g_{2} (12)

(3 - 4 i) (2 + i)

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