What is 3(x^2+2x-1)+5(x+3)(x-2) ?

The solution to 3(x^2+2x-1)+5(x+3)(x-2) is 8x^2+11x-33

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simplify 3(x^2+2x-1)+5(x+3)(x-2)

simplify

3 (x^{2} + 2 x - 1) + 5 (x + 3) (x - 2)

8 x^{2} + 11 x - 33

Solution steps

3 (x^{2} + 2 x - 1) + 5 (x + 3) (x - 2)

Expand

3 (x^{2} + 2 x - 1) : 3 x^{2} + 6 x - 3

= 3 x^{2} + 6 x - 3 + 5 (x + 3) (x - 2)

Expand

5 (x + 3) (x - 2) : 5 x^{2} + 5 x - 30

= 3 x^{2} + 6 x - 3 + 5 x^{2} + 5 x - 30

Group like terms

= 3 x^{2} + 5 x^{2} + 6 x + 5 x - 3 - 30

Add similar elements:

3 x^{2} + 5 x^{2} = 8 x^{2}

= 8 x^{2} + 6 x + 5 x - 3 - 30

Add similar elements:

6 x + 5 x = 11 x

= 8 x^{2} + 11 x - 3 - 30

Subtract the numbers:

- 3 - 30 = - 33

= 8 x^{2} + 11 x - 33

\frac{3}{4} + \frac{1}{2} + 1

lo g_{2} (0.3)

3^{2} \cdot 4^{2} \cdot 5^{2}

a^{l o g_{a} (b)}

x^{3} \cdot x^{- 5}

What is 3(x^2+2x-1)+5(x+3)(x-2) ?
The solution to 3(x^2+2x-1)+5(x+3)(x-2) is 8x^2+11x-33