What is (x^2+6x-15)-(4x^2-3x-5) ?

The solution to (x^2+6x-15)-(4x^2-3x-5) is -3x^2+9x-10

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simplify (x^2+6x-15)-(4x^2-3x-5)

simplify

(x^{2} + 6 x - 15) - (4 x^{2} - 3 x - 5)

- 3 x^{2} + 9 x - 10

Solution steps

(x^{2} + 6 x - 15) - (4 x^{2} - 3 x - 5)

Apply rule:

(a) = a

(x^{2} + 6 x - 15) = x^{2} + 6 x - 15

= x^{2} + 6 x - 15 - (4 x^{2} - 3 x - 5)

Apply the distributive law:

- (a - b) = - a + b

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

= x^{2} + 6 x - 15 - 4 x^{2} + 3 x + 5

Group like terms

= x^{2} - 4 x^{2} + 6 x + 3 x - 15 + 5

Add similar elements:

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

= - 3 x^{2} + 6 x + 3 x - 15 + 5

Add similar elements:

6 x + 3 x = 9 x

= - 3 x^{2} + 9 x - 15 + 5

Add the numbers:

- 15 + 5 = - 10

= - 3 x^{2} + 9 x - 10

\frac{( 3.542 \cdot 1 0 ^{- 6} ) ^{9}}{( 5.05 \cdot 1 0 ^{4} ) ^{12}}

\frac{39}{64}

47 + 328

1 - \frac{99}{100}

10 0^{2} + 10 0^{2}

What is (x^2+6x-15)-(4x^2-3x-5) ?
The solution to (x^2+6x-15)-(4x^2-3x-5) is -3x^2+9x-10