What is factor (5a+3b)^2-20an-12bn ?

The solution to factor (5a+3b)^2-20an-12bn is (3b+5a)(3b+5a-4n)

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factor (5a+3b)^2-20an-12bn

factor

(5 a + 3 b)^{2} - 20 an - 12 bn

(3 b + 5 a) (3 b + 5 a - 4 n)

Solution steps

(5 a + 3 b)^{2} - 20 an - 12 bn

Rewrite as

= (3 b + 5 a)^{2} - 5 \cdot 4 na - 3 \cdot 4 nb

Factor out common term

4 n

= (3 b + 5 a)^{2} - 4 n (5 a + 3 b)

Apply exponent rule:

a^{b + c} = a^{b} a^{c}

(3 b + 5 a)^{2} = (3 b + 5 a) (3 b + 5 a)

= (3 b + 5 a) (3 b + 5 a) - 4 n (3 b + 5 a)

Factor out common term

(3 b + 5 a)

= (3 b + 5 a) (3 b + 5 a - 4 n)

b (\frac{ba - u}{k})

7^{2}

7^{3}

H (t) d t

e^{x y} x + e^{x y} y

What is factor (5a+3b)^2-20an-12bn ?
The solution to factor (5a+3b)^2-20an-12bn is (3b+5a)(3b+5a-4n)