What is expand ((-5d-9s)^2)/4 ?

The solution to expand ((-5d-9s)^2)/4 is (25d^2)/4+(45ds)/2+(81s^2)/4

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expand ((-5d-9s)^2)/4

expand

\frac{( - 5 d - 9 s ) ^{2}}{4}

\frac{25 d ^{2}}{4} + \frac{45 d s}{2} + \frac{81 s ^{2}}{4}

Solution steps

\frac{( - 5 d - 9 s ) ^{2}}{4}

(- 5 d - 9 s)^{2} = 25 d^{2} + 90 d s + 81 s^{2}

= \frac{25 d ^{2} + 90 d s + 81 s ^{2}}{4}

Apply the fraction rule:

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

\frac{25 d ^{2} + 90 d s + 81 s ^{2}}{4} = \frac{25 d ^{2}}{4} + \frac{90 d s}{4} + \frac{81 s ^{2}}{4}

= \frac{25 d ^{2}}{4} + \frac{90 d s}{4} + \frac{81 s ^{2}}{4}

Cancel

\frac{90 d s}{4} : \frac{45 d s}{2}

= \frac{25 d ^{2}}{4} + \frac{45 d s}{2} + \frac{81 s ^{2}}{4}

(0.72 + 0, 92 i) \cdot (0.08 - 0.54 i)

l (e^{2 t} + 3 t^{3} + sin (5 t))

(2 x + 2 y + 2 z) (2 y e^{z} + 2 x e^{z})

\frac{1}{( a + x ) ( x + b )}

(x + d x) + 5 (x^{2} - 1)

What is expand ((-5d-9s)^2)/4 ?
The solution to expand ((-5d-9s)^2)/4 is (25d^2)/4+(45ds)/2+(81s^2)/4