What is expand (d+sqrt(d(2d-7)))/d ?

The solution to expand (d+sqrt(d(2d-7)))/d is 1+(sqrt(2d^2-7d))/d

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expand (d+sqrt(d(2d-7)))/d

expand

\frac{d + d ( 2 d - 7 )}{d}

1 + \frac{2 d ^{2} - 7 d}{d}

Solution steps

\frac{d + d ( 2 d - 7 )}{d}

Expand

d (2 d - 7) : 2 d^{2} - 7 d

= \frac{d + 2 d ^{2} - 7 d}{d}

Apply the fraction rule:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{d + 2 d ^{2} - 7 d}{d} = \frac{d}{d} + \frac{2 d ^{2} - 7 d}{d}

= \frac{d}{d} + \frac{2 d ^{2} - 7 d}{d}

Apply rule

\frac{a}{a} = 1

\frac{d}{d} = 1

= 1 + \frac{2 d ^{2} - 7 d}{d}

\frac{( s ^{2} + 5 s + 10 )}{( s + 3 ) ( s + 2 ) ( s + 1 )}

(cos (t) - sin (t)) (- sin (t) - cos (t))

(ab + d c)^{2}

- \frac{1}{4} (- 8 x + 12 y)

\frac{S + 2}{( S + 3 ) ( S + 4 )}

What is expand (d+sqrt(d(2d-7)))/d ?
The solution to expand (d+sqrt(d(2d-7)))/d is 1+(sqrt(2d^2-7d))/d