How do you multiply (x-3)^{3}?

Bryant Miranda

Bryant Miranda

Answered question

2022-02-08

How do you multiply (x3)3?

Answer & Explanation

laiedkn

laiedkn

Beginner2022-02-09Added 15 answers

We can rewrite this expression as:
(x-3)(x-3)(x-3)
We can multiple the two terms in parenthesis on the right of the expression using this rule:
(ab)(ab)=a22ab+b2
Substituting x for a and 3 for b gives:
(x3)(x3)(x3)=(x3)(x2(2x3)+9)=
(x3)(x26x+9)
We now need to multiply these two terms together. To multiply these two terms you multiply each individual term in the left parenthesis by each individual term in the right parenthesis.
(x3)(x26x+9) becomes:
(x×x2)(x×6x)+(x×9)(3×x2)+(3×6x)(3×9)
x36x2+9x3x2+18x27
We can now group and combine like terms:
x36x23x2+9x+18x27
x3+(63)x2+(9+18)x27
x3+(9)x2+27x27
x39x2+27x27
Amubbemibren3k

Amubbemibren3k

Beginner2022-02-10Added 10 answers

(x3)3=(x3)(x3)(x3)
Taking into account only the first two terms, we multiply to get x26x+9.
Next, we multiply x26x+9 by x-3.
The result is x33x26x2+18x+9x27.
We simplify this by combining like terms:
x39x2+27x27
And that is the answer.

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