What is x(4x-2)+x(5x+6) ?

The solution to x(4x-2)+x(5x+6) is 9x^2+4x

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simplify x(4x-2)+x(5x+6)

simplify

x (4 x - 2) + x (5 x + 6)

9 x^{2} + 4 x

Solution steps

x (4 x - 2) + x (5 x + 6)

Expand

x (4 x - 2) : 4 x^{2} - 2 x

= 4 x^{2} - 2 x + x (5 x + 6)

Expand

x (5 x + 6) : 5 x^{2} + 6 x

= 4 x^{2} - 2 x + 5 x^{2} + 6 x

Group like terms

= 4 x^{2} + 5 x^{2} - 2 x + 6 x

Add similar elements:

4 x^{2} + 5 x^{2} = 9 x^{2}

= 9 x^{2} - 2 x + 6 x

Add similar elements:

- 2 x + 6 x = 4 x

= 9 x^{2} + 4 x

\frac{1}{2} 48

\frac{5}{50} \div \frac{20}{35}

w^{24}

6 + 20