What is factor 49x^3+21x^2y^2 ?

The solution to factor 49x^3+21x^2y^2 is 7x^2(7x+3y^2)

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factor 49x^3+21x^2y^2

factor

49 x^{3} + 21 x^{2} y^{2}

7 x^{2} (7 x + 3 y^{2})

Solution steps

49 x^{3} + 21 x^{2} y^{2}

Apply exponent rule:

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

x^{3} = x^{2} x

= 49 x^{2} x + 21 x^{2} y^{2}

Rewrite

21

3 \cdot 7

Rewrite

49

7 \cdot 7

= 7 \cdot 7 x^{2} x + 3 \cdot 7 x^{2} y^{2}

Factor out common term

7 x^{2}

= 7 x^{2} (7 x + 3 y^{2})

\frac{( 4 x - 1 )}{( 3 x ^{2} \cdot y )} - \frac{( 7 x - 1 )}{( 3 x ^{2} \cdot y )}

x^{2} + 9 x^{2} + 27 x + 27

\frac{- 5}{( 2 x ^{2} + 6 )}

- \frac{7}{8} \cdot a^{m} \cdot \frac{b ^{n}}{( - \frac{3}{4} )} \cdot a \cdot b^{2}

\frac{1}{1 - \frac{v ^{2}}{c ^{2}}}

What is factor 49x^3+21x^2y^2 ?
The solution to factor 49x^3+21x^2y^2 is 7x^2(7x+3y^2)