What is x(2x-3)+x(7x+8) ?

The solution to x(2x-3)+x(7x+8) is 9x^2+5x

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simplify x(2x-3)+x(7x+8)

simplify

x (2 x - 3) + x (7 x + 8)

9 x^{2} + 5 x

Solution steps

x (2 x - 3) + x (7 x + 8)

Expand

x (2 x - 3) : 2 x^{2} - 3 x

= 2 x^{2} - 3 x + x (7 x + 8)

Expand

x (7 x + 8) : 7 x^{2} + 8 x

= 2 x^{2} - 3 x + 7 x^{2} + 8 x

Group like terms

= 2 x^{2} + 7 x^{2} - 3 x + 8 x

Add similar elements:

2 x^{2} + 7 x^{2} = 9 x^{2}

= 9 x^{2} - 3 x + 8 x

Add similar elements:

- 3 x + 8 x = 5 x

= 9 x^{2} + 5 x

3 \times 3

x - 3 \cdot x - 3

\frac{3}{7} \times 7

- 7 x^{7} (- 12 x^{6} - 3 x^{2} + 7)

e^{3 \times 0}