What is (4x^2-2x-6)-(7x-9) ?

The solution to (4x^2-2x-6)-(7x-9) is 4x^2-9x+3

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simplify (4x^2-2x-6)-(7x-9)

simplify

(4 x^{2} - 2 x - 6) - (7 x - 9)

4 x^{2} - 9 x + 3

Solution steps

(4 x^{2} - 2 x - 6) - (7 x - 9)

Apply rule:

(a) = a

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

= 4 x^{2} - 2 x - 6 - (7 x - 9)

Apply the distributive law:

- (a - b) = - a + b

- (7 x - 9) = - 7 x + 9

= 4 x^{2} - 2 x - 6 - 7 x + 9

Group like terms

= 4 x^{2} - 2 x - 7 x - 6 + 9

Add similar elements:

- 2 x - 7 x = - 9 x

= 4 x^{2} - 9 x - 6 + 9

Add the numbers:

- 6 + 9 = 3

= 4 x^{2} - 9 x + 3

(a - 2)^{2}

1 0^{l o g_{10} (6)}

(p - 6)^{2}

\frac{1}{2} \div \frac{3}{2}

(4 + x)^{2}