What is factor x^{5/2}-49x^{1/2} ?

The solution to factor x^{5/2}-49x^{1/2} is sqrt(x)(x+7)(x-7)

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factor x^{5/2}-49x^{1/2}

factor

x^{\frac{5}{2}} - 49 x^{\frac{1}{2}}

x (x + 7) (x - 7)

Solution steps

x^{\frac{5}{2}} - 49 x^{\frac{1}{2}}

Rewrite

x^{\frac{5}{2}}

(x)^{5}

= (x)^{5} - 49 x^{\frac{1}{2}}

Factor out common term

x : x ((x)^{4} - 49)

= x ((x)^{4} - 49)

Factor

(x)^{4} - 49 : ((x)^{2} + 7) ((x)^{2} - 7)

= x ((x)^{2} + 7) ((x)^{2} - 7)

Simplify

x ((x)^{2} + 7) ((x)^{2} - 7) : x (x + 7) (x - 7)

= x (x + 7) (x - 7)

21 x y + 15 x + 35 ry + 25 r

6 x^{2} - 18 x - 24 = 36

\frac{4 x ^{- 3} y ^{4}}{8 x ^{2} ( y ^{- 3} ) ^{2}}

(x^{4})^{\frac{3}{2}}

(x - 5)^{2}

What is factor x^{5/2}-49x^{1/2} ?
The solution to factor x^{5/2}-49x^{1/2} is sqrt(x)(x+7)(x-7)