What is factor 3(x+1)^2(2x+1)^4+8(2x+1)^3(x+1)^3 ?

The solution to factor 3(x+1)^2(2x+1)^4+8(2x+1)^3(x+1)^3 is (x+1)^2(2x+1)^3(14x+11)

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factor 3(x+1)^2(2x+1)^4+8(2x+1)^3(x+1)^3

factor

3 (x + 1)^{2} (2 x + 1)^{4} + 8 (2 x + 1)^{3} (x + 1)^{3}

(x + 1)^{2} (2 x + 1)^{3} (14 x + 11)

Solution steps

3 (x + 1)^{2} (2 x + 1)^{4} + 8 (2 x + 1)^{3} (x + 1)^{3}

Factor out common term

(x + 1)^{2} (2 x + 1)^{3} : (x + 1)^{2} (2 x + 1)^{3} (3 (2 x + 1) + 8 (x + 1))

= (x + 1)^{2} (2 x + 1)^{3} (3 (2 x + 1) + 8 (x + 1))

Expand

3 (2 x + 1) + 8 (x + 1) : 14 x + 11

= (x + 1)^{2} (2 x + 1)^{3} (14 x + 11)

x^{2} - 4 x - 12 \leq 0

3 x + 7 = - 2

- (a - 3) \leq 5 (a + 3)

345 \cdot \frac{π}{180}

21 x^{4} + 70 x

What is factor 3(x+1)^2(2x+1)^4+8(2x+1)^3(x+1)^3 ?
The solution to factor 3(x+1)^2(2x+1)^4+8(2x+1)^3(x+1)^3 is (x+1)^2(2x+1)^3(14x+11)