What is ((25x^4+30x^2y+9y^2))/(5x^2+3y) ?

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

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simplify ((25x^4+30x^2y+9y^2))/(5x^2+3y)

simplify

\frac{( 25 x ^{4} + 30 x ^{2} y + 9 y ^{2} )}{5 x ^{2} + 3 y}

5 x^{2} + 3 y

Solution steps

\frac{25 x ^{4} + 30 x ^{2} y + 9 y ^{2}}{5 x ^{2} + 3 y}

Factor

25 x^{4} + 30 x^{2} y + 9 y^{2} : (5 x^{2} + 3 y)^{2}

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

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

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

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

Cancel the common factor:

5 x^{2} + 3 y

= 5 x^{2} + 3 y

24 a^{2} x y^{2} - 36 x^{2} y^{4}

x^{3 - 8}

- 12 + 6 x = 6 + 5 (x - 2)

2 x + 3 = x + 7

(- \frac{5}{3} - \frac{1}{4} i) + (- \frac{4}{3} + \frac{2}{5} i)

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