What is expand ((7q^2+4)^2)/(49) ?

The solution to expand ((7q^2+4)^2)/(49) is q^4+(8q^2)/7+16/49

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expand ((7q^2+4)^2)/(49)

expand

\frac{( 7 q ^{2} + 4 ) ^{2}}{49}

q^{4} + \frac{8 q ^{2}}{7} + \frac{16}{49}

Solution steps

\frac{( 7 q ^{2} + 4 ) ^{2}}{49}

(7 q^{2} + 4)^{2} = 49 q^{4} + 56 q^{2} + 16

= \frac{49 q ^{4} + 56 q ^{2} + 16}{49}

Apply the fraction rule:

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

\frac{49 q ^{4} + 56 q ^{2} + 16}{49} = \frac{49 q ^{4}}{49} + \frac{56 q ^{2}}{49} + \frac{16}{49}

= \frac{49 q ^{4}}{49} + \frac{56 q ^{2}}{49} + \frac{16}{49}

Divide the numbers:

\frac{49}{49} = 1

= q^{4} + \frac{56 q ^{2}}{49} + \frac{16}{49}

Cancel

\frac{56 q ^{2}}{49} : \frac{8 q ^{2}}{7}

= q^{4} + \frac{8 q ^{2}}{7} + \frac{16}{49}

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What is expand ((7q^2+4)^2)/(49) ?
The solution to expand ((7q^2+4)^2)/(49) is q^4+(8q^2)/7+16/49