What is (2x+20-6x^2)-(4-7x^2+12x) ?

The solution to (2x+20-6x^2)-(4-7x^2+12x) is x^2-10x+16

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simplify (2x+20-6x^2)-(4-7x^2+12x)

simplify

(2 x + 20 - 6 x^{2}) - (4 - 7 x^{2} + 12 x)

x^{2} - 10 x + 16

Solution steps

(2 x + 20 - 6 x^{2}) - (4 - 7 x^{2} + 12 x)

Apply rule:

(a) = a

(2 x + 20 - 6 x^{2}) = 2 x + 20 - 6 x^{2}

= 2 x + 20 - 6 x^{2} - (4 - 7 x^{2} + 12 x)

Apply the distributive law:

- (a - b) = - a + b

- (4 - 7 x^{2} + 12 x) = - 4 + 7 x^{2} - 12 x

= 2 x + 20 - 6 x^{2} - 4 + 7 x^{2} - 12 x

Group like terms

= - 6 x^{2} + 7 x^{2} + 2 x - 12 x + 20 - 4

Add similar elements:

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

= x^{2} + 2 x - 12 x + 20 - 4

Add similar elements:

2 x - 12 x = - 10 x

= x^{2} - 10 x + 20 - 4

Subtract the numbers:

20 - 4 = 16

= x^{2} - 10 x + 16

1 \frac{5}{12}

\frac{4 a ^{2}}{27 a}

\frac{x ^{2} + 4 x - 5}{x ^{2} - 2 x + 1}

3 x^{4} - 16 x^{2}

2 x^{2} - 2 x - 112

What is (2x+20-6x^2)-(4-7x^2+12x) ?
The solution to (2x+20-6x^2)-(4-7x^2+12x) is x^2-10x+16