How do you multiply ${(x + 2)}^{3}$ $(x+2)^3$ ?

Question

How do you multiply ${(x + 2)}^{3}$ $(x+2)^3$ ?

1 Answer

Impact of this question

1380 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-03-18T10:58:56

$x^{3} + 6 x^{2} + 12 x + 8$ $x^3 + 6x^2 + 12x + 8$

Explanation:

Split the function into 'parts' as follows.

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

now expand ${(x + 2)}^{2} using FOIL or any method you use$ $(x + 2)^2" using FOIL or any method you use "$

${(x + 2)}^{2} = x^{2} + 2 x + 2 x + 4 = x^{2} + 4 x + 4$ $(x + 2 )^2 = x^2 + 2x + 2x + 4 = x^2 + 4x + 4$

we now have : $(x + 2) (x^{2} + 4 x + 4)$ $(x + 2)(x^2 + 4x + 4)$

multiply each term in 2nd bracket by x , then +2

hence : $x^{3} + 4 x^{2} + 4 x + 2 x^{2} + 8 x + 8$ $x^3 + 4x^2 + 4x + 2x^2 + 8x + 8$

finally collect like terms : $x^{3} + 6 x^{2} + 12 x + 8$ $x^3 + 6x^2 + 12x + 8$

Science

Math

Humanities

... and beyond

How do you multiply ${(x + 2)}^{3}$ $(x+2)^3$ ?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

How do you multiply (x+2)^3(x+2)3(x+2)^3?

1 Answer

Explanation:

Related questions

Impact of this question

How do you multiply ${(x + 2)}^{3}$ $(x+2)^3$ ?