What is factor 16x^{6a}-49y^{2b} ?

The solution to factor 16x^{6a}-49y^{2b} is (4x^{3a}+7y^b)(4x^{3a}-7y^b)

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factor 16x^{6a}-49y^{2b}

factor

16 x^{6 a} - 49 y^{2 b}

(4 x^{3 a} + 7 y^{b}) (4 x^{3 a} - 7 y^{b})

Solution steps

16 x^{6 a} - 49 y^{2 b}

Rewrite

16 x^{6 a}

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

Rewrite

49 y^{2 b}

(7 y^{1 b})^{2}

= (2^{2} x^{3 a})^{2} - (7 y^{1 \cdot b})^{2}

Apply Difference of Two Squares Formula:

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

(2^{2} x^{3 a})^{2} - (7 y^{1 b})^{2} = (2^{2} x^{3 a} + 7 y^{1 b}) (2^{2} x^{3 a} - 7 y^{1 b})

= (2^{2} x^{3 a} + 7 y^{1 b}) (2^{2} x^{3 a} - 7 y^{1 b})

Refine

= (7 y^{b} + 4 x^{3 a}) (4 x^{3 a} - 7 y^{b})

5 x^{2} - 40 x + 3 x + 24

x sec^{2} (π x)

[(x - 2 y) + z] [(x - 2 y) - z]

\frac{3}{64}

8 x^{3} - y^{3} z^{3}

What is factor 16x^{6a}-49y^{2b} ?
The solution to factor 16x^{6a}-49y^{2b} is (4x^{3a}+7y^b)(4x^{3a}-7y^b)