What is (4x^2-6x+1)-(5x^2+8x+6) ?

The solution to (4x^2-6x+1)-(5x^2+8x+6) is -x^2-14x-5

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simplify (4x^2-6x+1)-(5x^2+8x+6)

simplify

(4 x^{2} - 6 x + 1) - (5 x^{2} + 8 x + 6)

- x^{2} - 14 x - 5

Solution steps

(4 x^{2} - 6 x + 1) - (5 x^{2} + 8 x + 6)

Apply rule:

(a) = a

(4 x^{2} - 6 x + 1) = 4 x^{2} - 6 x + 1

= 4 x^{2} - 6 x + 1 - (5 x^{2} + 8 x + 6)

Apply the distributive law:

- (a + b) = - a - b

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

= 4 x^{2} - 6 x + 1 - 5 x^{2} - 8 x - 6

Group like terms

= 4 x^{2} - 5 x^{2} - 6 x - 8 x + 1 - 6

Add similar elements:

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

= - x^{2} - 6 x - 8 x + 1 - 6

Add similar elements:

- 6 x - 8 x = - 14 x

= - x^{2} - 14 x + 1 - 6

Subtract the numbers:

1 - 6 = - 5

= - x^{2} - 14 x - 5

\frac{7 x ^{2}}{x ^{3}}

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

(x + 3)^{2} - 4 (x + 3)

21 x^{2} - 22 x - 8

- 4 (9 m - 5) - 9 (5 m + 4)

What is (4x^2-6x+1)-(5x^2+8x+6) ?
The solution to (4x^2-6x+1)-(5x^2+8x+6) is -x^2-14x-5