What is ((-3(x+h)^2)-(-3x^2))/h ?

The solution to ((-3(x+h)^2)-(-3x^2))/h is -6x-3h

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simplify ((-3(x+h)^2)-(-3x^2))/h

simplify

\frac{( - 3 ( x + h ) ^{2} ) - ( - 3 x ^{2} )}{h}

- 6 x - 3 h

Solution steps

\frac{( - 3 ( x + h ) ^{2} ) - ( - 3 x ^{2} )}{h}

Simplify

(- 3 (x + h)^{2}) - (- 3 x^{2}) : - 3 (x + h)^{2} + 3 x^{2}

= \frac{- 3 ( x + h ) ^{2} + 3 x ^{2}}{h}

Factor

- 3 (x + h)^{2} + 3 x^{2} : - 3 h (2 x + h)

= \frac{- 3 h ( 2 x + h )}{h}

Cancel the common factor:

h

= - 3 (2 x + h)

Expand

- 3 (2 x + h) : - 6 x - 3 h

= - 6 x - 3 h

x^{2} - 2 x = 3

lo g_{\frac{1}{2}} (3)

2 - 5 c > 67

9 (5 - 4 x)^{2} - 43 = - 39

5 t (6 t + 4)^{\frac{- 1}{2}} + 6 (6 t + 4)^{\frac{1}{2}}

What is ((-3(x+h)^2)-(-3x^2))/h ?
The solution to ((-3(x+h)^2)-(-3x^2))/h is -6x-3h