What is expand ((-20-2y)/7)^2 ?

The solution to expand ((-20-2y)/7)^2 is (4y^2)/(49)+(80y)/(49)+400/49

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expand ((-20-2y)/7)^2

expand

(\frac{- 20 - 2 y}{7})^{2}

\frac{4 y ^{2}}{49} + \frac{80 y}{49} + \frac{400}{49}

Solution steps

(\frac{- 20 - 2 y}{7})^{2}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{( - 20 - 2 y ) ^{2}}{7 ^{2}}

(- 20 - 2 y)^{2} = 400 + 80 y + 4 y^{2}

= \frac{400 + 80 y + 4 y ^{2}}{7 ^{2}}

7^{2} = 49

= \frac{400 + 80 y + 4 y ^{2}}{49}

Apply the fraction rule:

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

\frac{400 + 80 y + 4 y ^{2}}{49} = \frac{400}{49} + \frac{80 y}{49} + \frac{4 y ^{2}}{49}

= \frac{400}{49} + \frac{80 y}{49} + \frac{4 y ^{2}}{49}

Rewrite in standard form

= \frac{4 y ^{2}}{49} + \frac{80 y}{49} + \frac{400}{49}

\frac{2 s ^{2} + 6 s + 5}{( s + 2 ) ( s + 1 )}

x (e^{2 x} + x^{4})

(19 x^{2} - 2)^{\circ} (13 x - 9) (3)

\frac{9 x}{( x + 7 ) ( x - 8 )}

d (t - 2 π)

What is expand ((-20-2y)/7)^2 ?
The solution to expand ((-20-2y)/7)^2 is (4y^2)/(49)+(80y)/(49)+400/49