What is factor 4a^2-25b^2 ?

The solution to factor 4a^2-25b^2 is (2a+5b)(2a-5b)

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factor 4a^2-25b^2

factor

4 a^{2} - 25 b^{2}

(2 a + 5 b) (2 a - 5 b)

Solution steps

4 a^{2} - 25 b^{2}

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

25 b^{2} = (5 b)^{2}

= (2 a)^{2} - (5 b)^{2}

Apply Difference of Two Squares Formula:

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

(2 a)^{2} - (5 b)^{2} = (2 a + 5 b) (2 a - 5 b)

= (2 a + 5 b) (2 a - 5 b)

\frac{8}{5} \div (\frac{3}{4} \div \frac{3}{8})

\frac{2 b - 3}{7} - \frac{b}{2} = \frac{b + 3}{14}

618

15 + 6 b - 6 b = 4 b - 1 - 6 b

160 - 940