What is expand ((5x+3)/(2y+z))^2 ?

The solution to expand ((5x+3)/(2y+z))^2 is (25x^2+30x+9)/(4y^2+4yz+z^2)

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expand ((5x+3)/(2y+z))^2

expand

(\frac{5 x + 3}{2 y + z})^{2}

\frac{25 x ^{2} + 30 x + 9}{4 y ^{2} + 4 yz + z ^{2}}

Solution steps

(\frac{5 x + 3}{2 y + z})^{2}

Apply exponent rule:

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

= \frac{( 5 x + 3 ) ^{2}}{( 2 y + z ) ^{2}}

(2 y + z)^{2} = 4 y^{2} + 4 yz + z^{2}

= \frac{( 5 x + 3 ) ^{2}}{4 y ^{2} + 4 yz + z ^{2}}

(5 x + 3)^{2} = 25 x^{2} + 30 x + 9

= \frac{25 x ^{2} + 30 x + 9}{4 y ^{2} + 4 yz + z ^{2}}

\frac{1 + 64 m ^{3}}{1 + 4 m}

6 (2 e^{x^{2}} x^{2} + e^{x^{2}})

1 - [G_{1} (G_{3} + G_{2})] H_{1}

\frac{( 25 x + 16 )}{( x ( x + 1 ) ( x + 2 ) )}

(e^{x} - 3) (e^{x} - 4)

What is expand ((5x+3)/(2y+z))^2 ?
The solution to expand ((5x+3)/(2y+z))^2 is (25x^2+30x+9)/(4y^2+4yz+z^2)