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Popular >

factor (x+3)^3-1

Solution

factor

(x + 3)^{3} - 1

Solution

(x + 2) (x^{2} + 7 x + 13)

Solution steps

(x + 3)^{3} - 1

Rewrite

1

as

1^{3}

= (x + 3)^{3} - 1^{3}

Apply Difference of Cubes Formula:

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

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

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

Refine

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

Expand

(x + 3)^{2} + x + 3 + 1 : x^{2} + 7 x + 13

= (x + 2) (x^{2} + 7 x + 13)

Popular Examples

4-(3+1)^2-6\div 2+4

4 - (3 + 1)^{2} - 6 \div 2 + 4

(ln(25))/(0.125)=t

\frac{ln ( 25 )}{0.125} = t

simplify 3/5+3/8 simplify

\frac{3}{5} + \frac{3}{8}

simplify sqrt(14)*sqrt(8)simplify

14 \cdot 8

4 x + 1 > 17

Frequently Asked Questions (FAQ)

What is factor (x+3)^3-1 ?
The solution to factor (x+3)^3-1 is (x+2)(x^2+7x+13)