What is expand ((2+5y)^2)/4 ?

The solution to expand ((2+5y)^2)/4 is (25y^2)/4+5y+1

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expand ((2+5y)^2)/4

expand

\frac{( 2 + 5 y ) ^{2}}{4}

\frac{25 y ^{2}}{4} + 5 y + 1

Solution steps

\frac{( 2 + 5 y ) ^{2}}{4}

(2 + 5 y)^{2} = 4 + 20 y + 25 y^{2}

= \frac{4 + 20 y + 25 y ^{2}}{4}

Apply the fraction rule:

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

\frac{4 + 20 y + 25 y ^{2}}{4} = \frac{4}{4} + \frac{20 y}{4} + \frac{25 y ^{2}}{4}

= \frac{4}{4} + \frac{20 y}{4} + \frac{25 y ^{2}}{4}

Apply rule

\frac{a}{a} = 1

\frac{4}{4} = 1

= 1 + \frac{20 y}{4} + \frac{25 y ^{2}}{4}

Divide the numbers:

\frac{20}{4} = 5

= 1 + 5 y + \frac{25 y ^{2}}{4}

Rewrite in standard form

= \frac{25 y ^{2}}{4} + 5 y + 1

(x + 1.5) \cdot (x + 0, 3) \cdot (x - 2, 7)

(1 - 22)^{4}

\frac{d x}{( x ^{2} + 1 ) ^{2}}

\frac{2 x + h}{x ^{2} ( x ^{2} + 2 x h + h ^{2} )}

3 ((x + 3) (x - 2) (x - 5))

What is expand ((2+5y)^2)/4 ?
The solution to expand ((2+5y)^2)/4 is (25y^2)/4+5y+1