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Popular >

factor (y+1)^3+1

Solution

factor

(y + 1)^{3} + 1

Solution

(y + 2) (y^{2} + y + 1)

Solution steps

(y + 1)^{3} + 1

Rewrite

1

as

1^{3}

= (y + 1)^{3} + 1^{3}

Apply Sum of Cubes Formula:

x^{3} + y^{3} = (x + y) (x^{2} - x y + y^{2})

(y + 1)^{3} + 1^{3} = ((y + 1) + 1) ((y + 1)^{2} - (y + 1) + 1)

= ((y + 1) + 1) ((y + 1)^{2} - (y + 1) + 1)

Refine

= (y + 2) (- y + (y + 1)^{2})

Expand

- y + (y + 1)^{2} : y^{2} + y + 1

= (y + 2) (y^{2} + y + 1)

Popular Examples

factor (x+1)^2-5(x+1)+6 factor

(x + 1)^{2} - 5 (x + 1) + 6

factor 12ax-15bx+8ay-10by factor

12 a x - 15 b x + 8 a y - 10 b y

factor x^8+7x^4-18 factor

x^{8} + 7 x^{4} - 18

[4.8]

factor (x+h)+3 factor

(x + h) + 3

Frequently Asked Questions (FAQ)

What is factor (y+1)^3+1 ?
The solution to factor (y+1)^3+1 is (y+2)(y^2+y+1)