What is factor (x+4a)^2-25a^2 ?

The solution to factor (x+4a)^2-25a^2 is (x+9a)(x-a)

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factor (x+4a)^2-25a^2

factor

(x + 4 a)^{2} - 25 a^{2}

(x + 9 a) (x - a)

Solution steps

(x + 4 a)^{2} - 25 a^{2}

Simplify

25 a^{2} : (5 a)^{2}

= (x + 4 a)^{2} - (5 a)^{2}

Apply Difference of Two Squares Formula:

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

(x + 4 a)^{2} - (5 a)^{2} = ((x + 4 a) + 5 a) ((x + 4 a) - 5 a)

= ((x + 4 a) + 5 a) ((x + 4 a) - 5 a)

Simplify

((x + 4 a) + 5 a) ((x + 4 a) - 5 a) : (x + 9 a) (x - a)

= (x + 9 a) (x - a)

m^{2} + 21 m - 22 = 0

lo g_{4} (2) + lo g_{4} (32)

5 (y) (- y) (y^{2}) (- y^{2})

\frac{x}{9} + 16 = 20

\frac{5 + 3}{4 + 3}

What is factor (x+4a)^2-25a^2 ?
The solution to factor (x+4a)^2-25a^2 is (x+9a)(x-a)