What is (4x^2+9x-7)-(-7x^2+5x-1) ?

The solution to (4x^2+9x-7)-(-7x^2+5x-1) is 11x^2+4x-6

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simplify (4x^2+9x-7)-(-7x^2+5x-1)

simplify

(4 x^{2} + 9 x - 7) - (- 7 x^{2} + 5 x - 1)

11 x^{2} + 4 x - 6

Solution steps

(4 x^{2} + 9 x - 7) - (- 7 x^{2} + 5 x - 1)

Apply rule:

(a) = a

(4 x^{2} + 9 x - 7) = 4 x^{2} + 9 x - 7

= 4 x^{2} + 9 x - 7 - (- 7 x^{2} + 5 x - 1)

Apply the distributive law:

- (- a + b) = a - b

- (- 7 x^{2} + 5 x - 1) = 7 x^{2} - 5 x + 1

= 4 x^{2} + 9 x - 7 + 7 x^{2} - 5 x + 1

Group like terms

= 4 x^{2} + 7 x^{2} + 9 x - 5 x - 7 + 1

Add similar elements:

4 x^{2} + 7 x^{2} = 11 x^{2}

= 11 x^{2} + 9 x - 5 x - 7 + 1

Add similar elements:

9 x - 5 x = 4 x

= 11 x^{2} + 4 x - 7 + 1

Add the numbers:

- 7 + 1 = - 6

= 11 x^{2} + 4 x - 6

\frac{200}{3}

(x + 5) 2

(x^{2} - 5 x + 6) + (3 x^{2} - 8 x - 2)

(3 x - 1) (3 x + 1)

- 2 \times (- 1)

What is (4x^2+9x-7)-(-7x^2+5x-1) ?
The solution to (4x^2+9x-7)-(-7x^2+5x-1) is 11x^2+4x-6