What is factor (3a+b)(2c-d)+2a(2c-d)^2 ?

The solution to factor (3a+b)(2c-d)+2a(2c-d)^2 is (2c-d)(3a+b+4ac-2ad)

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factor (3a+b)(2c-d)+2a(2c-d)^2

factor

(3 a + b) (2 c - d) + 2 a (2 c - d)^{2}

(2 c - d) (3 a + b + 4 a c - 2 a d)

Solution steps

(3 a + b) (2 c - d) + 2 a (2 c - d)^{2}

Factor out common term

(2 c - d) : (2 c - d) (3 a + b + 2 a (2 c - d))

= (2 c - d) (3 a + b + 2 a (2 c - d))

Expand

3 a + b + 2 a (2 c - d) : 3 a + b + 4 a c - 2 a d

= (2 c - d) (3 a + b + 4 a c - 2 a d)

\frac{4}{i}

x^{2} + 10 x - 3000 = 0

6 x^{2} + 12 x = 5 x - 2

x^{4} y^{2} - x^{2} y^{4}

(x^{2})^{\frac{1}{3}}

What is factor (3a+b)(2c-d)+2a(2c-d)^2 ?
The solution to factor (3a+b)(2c-d)+2a(2c-d)^2 is (2c-d)(3a+b+4ac-2ad)