What is factor 64t^2-49a^2b^2 ?

The solution to factor 64t^2-49a^2b^2 is (8t+7ab)(8t-7ab)

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factor 64t^2-49a^2b^2

factor

64 t^{2} - 49 a^{2} b^{2}

(8 t + 7 ab) (8 t - 7 ab)

Solution steps

64 t^{2} - 49 a^{2} b^{2}

64 t^{2} = (8 t)^{2}

49 a^{2} b^{2} = (7 ab)^{2}

= (8 t)^{2} - (7 ab)^{2}

Apply Difference of Two Squares Formula:

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

(8 t)^{2} - (7 ab)^{2} = (8 t + 7 ab) (8 t - 7 ab)

= (8 t + 7 ab) (8 t - 7 ab)

(a + 1) \cdot a

2 lo g_{10} (a^{x}) + 3 lo g_{10} (a^{y})

\frac{a ^{2}}{b ^{2}} - 3 + 2 \frac{b ^{2}}{a ^{2}}

(x^{a})^{- 1}

\frac{( 1 + i ) ^{n}}{( 1 - i ) ^{n}} - 2

What is factor 64t^2-49a^2b^2 ?
The solution to factor 64t^2-49a^2b^2 is (8t+7ab)(8t-7ab)