What is (x+6)(x-3)+(2x-1)(x+7) ?

The solution to (x+6)(x-3)+(2x-1)(x+7) is 3x^2+16x-25

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simplify (x+6)(x-3)+(2x-1)(x+7)

simplify

(x + 6) (x - 3) + (2 x - 1) (x + 7)

3 x^{2} + 16 x - 25

Solution steps

(x + 6) (x - 3) + (2 x - 1) (x + 7)

Expand

(x + 6) (x - 3) : x^{2} + 3 x - 18

= x^{2} + 3 x - 18 + (2 x - 1) (x + 7)

Expand

(2 x - 1) (x + 7) : 2 x^{2} + 13 x - 7

= x^{2} + 3 x - 18 + 2 x^{2} + 13 x - 7

Group like terms

= x^{2} + 2 x^{2} + 3 x + 13 x - 18 - 7

Add similar elements:

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

= 3 x^{2} + 3 x + 13 x - 18 - 7

Add similar elements:

3 x + 13 x = 16 x

= 3 x^{2} + 16 x - 18 - 7

Subtract the numbers:

- 18 - 7 = - 25

= 3 x^{2} + 16 x - 25

(x - 8) (x + 81)

(7 x - 8 y) (7 x + 8 y)

x^{3} - 6 x^{2} + 10 x - 4

(2)^{2} + (4)^{2}

\frac{- 12}{2}

What is (x+6)(x-3)+(2x-1)(x+7) ?
The solution to (x+6)(x-3)+(2x-1)(x+7) is 3x^2+16x-25