What is factor a^2x^6-b^2y^4 ?

The solution to factor a^2x^6-b^2y^4 is (ax^3+by^2)(ax^3-by^2)

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factor a^2x^6-b^2y^4

factor

a^{2} x^{6} - b^{2} y^{4}

(a x^{3} + b y^{2}) (a x^{3} - b y^{2})

Solution steps

a^{2} x^{6} - b^{2} y^{4}

a^{2} x^{6} = (a x^{3})^{2}

b^{2} y^{4} = (b y^{2})^{2}

= (a x^{3})^{2} - (b y^{2})^{2}

Apply Difference of Two Squares Formula:

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

(a x^{3})^{2} - (b y^{2})^{2} = (a x^{3} + b y^{2}) (a x^{3} - b y^{2})

= (a x^{3} + b y^{2}) (a x^{3} - b y^{2})

- \frac{2}{11} - \frac{11}{10}

2 x (3 - 2) + 4 (x - 1)

\frac{( x - y ) ^{2}}{x ^{2} - y ^{2}}

- 1 \cdot (- x^{2})

- 1 + 3 (m + 4)

What is factor a^2x^6-b^2y^4 ?
The solution to factor a^2x^6-b^2y^4 is (ax^3+by^2)(ax^3-by^2)