What is (4x^2+2x+1)-(-5x^2+8x-8) ?

The solution to (4x^2+2x+1)-(-5x^2+8x-8) is 9x^2-6x+9

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simplify (4x^2+2x+1)-(-5x^2+8x-8)

simplify

(4 x^{2} + 2 x + 1) - (- 5 x^{2} + 8 x - 8)

9 x^{2} - 6 x + 9

Solution steps

(4 x^{2} + 2 x + 1) - (- 5 x^{2} + 8 x - 8)

Apply rule:

(a) = a

(4 x^{2} + 2 x + 1) = 4 x^{2} + 2 x + 1

= 4 x^{2} + 2 x + 1 - (- 5 x^{2} + 8 x - 8)

Apply the distributive law:

- (- a + b) = a - b

- (- 5 x^{2} + 8 x - 8) = 5 x^{2} - 8 x + 8

= 4 x^{2} + 2 x + 1 + 5 x^{2} - 8 x + 8

Group like terms

= 4 x^{2} + 5 x^{2} + 2 x - 8 x + 1 + 8

Add similar elements:

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

= 9 x^{2} + 2 x - 8 x + 1 + 8

Add similar elements:

2 x - 8 x = - 6 x

= 9 x^{2} - 6 x + 1 + 8

Add the numbers:

1 + 8 = 9

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

\frac{7 ^{12}}{7 ^{2}}

x^{3} + 2^{3}

\frac{7}{9} - \frac{5}{12}

lo g_{10} (10) + lo g_{10} (10)

What is (4x^2+2x+1)-(-5x^2+8x-8) ?
The solution to (4x^2+2x+1)-(-5x^2+8x-8) is 9x^2-6x+9