What is factor ([4(1+h)-(1+h)^2]-3)/h ?

The solution to factor ([4(1+h)-(1+h)^2]-3)/h is -h+2

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factor ([4(1+h)-(1+h)^2]-3)/h

factor

\frac{[ 4 ( 1 + h ) - ( 1 + h ) ^{2} ] - 3}{h}

- h + 2

Solution steps

\frac{( 4 ( 1 + h ) - ( 1 + h ) ^{2} ) - 3}{h}

Remove parentheses:

(a) = a

= \frac{4 ( 1 + h ) - ( 1 + h ) ^{2} - 3}{h}

Factor

- (h + 1)^{2} + 4 (h + 1) - 3 : - h (h - 2)

= - \frac{h ( h - 2 )}{h}

Cancel the common factor:

h

= - (h - 2)

Negate

- (h - 2) = - h + 2

= - h + 2

1536

- 2 \frac{x + 1}{3} = 2 - x

x^{\frac{5}{2}} - 16 x^{\frac{1}{2}}

15

\frac{5}{2} - \frac{3}{4}

What is factor ([4(1+h)-(1+h)^2]-3)/h ?
The solution to factor ([4(1+h)-(1+h)^2]-3)/h is -h+2