What is (3x^2-6x+11)-(10x^2-4x+6) ?

The solution to (3x^2-6x+11)-(10x^2-4x+6) is -7x^2-2x+5

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simplify (3x^2-6x+11)-(10x^2-4x+6)

simplify

(3 x^{2} - 6 x + 11) - (10 x^{2} - 4 x + 6)

- 7 x^{2} - 2 x + 5

Solution steps

(3 x^{2} - 6 x + 11) - (10 x^{2} - 4 x + 6)

Apply rule:

(a) = a

(3 x^{2} - 6 x + 11) = 3 x^{2} - 6 x + 11

= 3 x^{2} - 6 x + 11 - (10 x^{2} - 4 x + 6)

Apply the distributive law:

- (a - b) = - a + b

- (10 x^{2} - 4 x + 6) = - 10 x^{2} + 4 x - 6

= 3 x^{2} - 6 x + 11 - 10 x^{2} + 4 x - 6

Group like terms

= 3 x^{2} - 10 x^{2} - 6 x + 4 x + 11 - 6

Add similar elements:

3 x^{2} - 10 x^{2} = - 7 x^{2}

= - 7 x^{2} - 6 x + 4 x + 11 - 6

Add similar elements:

- 6 x + 4 x = - 2 x

= - 7 x^{2} - 2 x + 11 - 6

Subtract the numbers:

11 - 6 = 5

= - 7 x^{2} - 2 x + 5

\frac{24 z + 13}{z ^{2} - 100} - \frac{23 z + 3}{z ^{2} - 100}

\frac{9}{2} + 6

- 12 \cdot (- 4)

m^{2} \cdot m^{2}

2 \cdot 3

What is (3x^2-6x+11)-(10x^2-4x+6) ?
The solution to (3x^2-6x+11)-(10x^2-4x+6) is -7x^2-2x+5