What is (7x^2-4x+5)-(3x^2-6x+2) ?

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

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simplify (7x^2-4x+5)-(3x^2-6x+2)

simplify

(7 x^{2} - 4 x + 5) - (3 x^{2} - 6 x + 2)

4 x^{2} + 2 x + 3

Solution steps

(7 x^{2} - 4 x + 5) - (3 x^{2} - 6 x + 2)

Apply rule:

(a) = a

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

= 7 x^{2} - 4 x + 5 - (3 x^{2} - 6 x + 2)

Apply the distributive law:

- (a - b) = - a + b

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

= 7 x^{2} - 4 x + 5 - 3 x^{2} + 6 x - 2

Group like terms

= 7 x^{2} - 3 x^{2} - 4 x + 6 x + 5 - 2

Add similar elements:

7 x^{2} - 3 x^{2} = 4 x^{2}

= 4 x^{2} - 4 x + 6 x + 5 - 2

Add similar elements:

- 4 x + 6 x = 2 x

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

Subtract the numbers:

5 - 2 = 3

= 4 x^{2} + 2 x + 3

12 x^{3} + 12 x^{2} - 24 x

9^{l o g_{9} (15)}

\frac{3}{4} (z + \frac{2}{5}) + 2 z

lo g_{3} (343)

\frac{1}{sin ^{2} ( x )} + \frac{sec ^{2} ( x )}{tan ^{2} ( x )}

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