What is factor 256a^4-b^4 ?

The solution to factor 256a^4-b^4 is (16a^2+b^2)(4a+b)(4a-b)

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factor 256a^4-b^4

factor

256 a^{4} - b^{4}

(16 a^{2} + b^{2}) (4 a + b) (4 a - b)

Solution steps

256 a^{4} - b^{4}

256 a^{4} = (16 a^{2})^{2}

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

= (16 a^{2})^{2} - (b^{2})^{2}

Apply Difference of Two Squares Formula:

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

(16 a^{2})^{2} - (b^{2})^{2} = (16 a^{2} + b^{2}) (16 a^{2} - b^{2})

= (16 a^{2} + b^{2}) (16 a^{2} - b^{2})

Factor

16 a^{2} - b^{2} : (4 a + b) (4 a - b)

= (16 a^{2} + b^{2}) (4 a + b) (4 a - b)

2 a - 2 b

9 \frac{n}{9} \frac{m}{s ^{2}}

(m + 9)^{3}

lo g_{10} (a^{3}) \cdot b^{2} \cdot c^{5}

arccos (cos^{4} (x)) 3 x^{2} - 4 x

What is factor 256a^4-b^4 ?
The solution to factor 256a^4-b^4 is (16a^2+b^2)(4a+b)(4a-b)