Simplifying Expressions Warmup

Algebra Level 1

Which expression is equivalent to:

4 ( x ( 3 ( x ( 2 ( x + 1 ) ) ) ) ) ? 4(x(3(x(2(x + 1)))))?

24 x 3 + 12 x 2 24x^3 + 12x^2 24 x 3 + 24 x 2 24x^3 + 24x^2 12 x 3 + 24 x 2 12x^3 + 24x^2 12 x 3 + 12 x 2 12x^3 + 12x^2

Brilliant Mathematics by Brilliant Mathematics

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1 solution

Brilliant Mathematics Staff
Aug 1, 2020

We can simplify this expression by beginning our distributing at the inner-most parentheses:

4 ( x ( 3 ( x ( 2 ( x + 1 ) ) ) ) ) = 4 ( x ( 3 ( x ( 2 x + 2 ) ) ) ) = 4 ( x ( 3 ( 2 x 2 + 2 x ) ) ) = 4 ( x ( 6 x 2 + 6 x ) ) = 4 ( 6 x 3 + 6 x 2 ) = 24 x 3 + 24 x 2 \begin{array} { r c l } 4(x(3(x(2(x + 1))))) &=& 4(x(3(x(2x + 2)))) \\ &=&4(x(3(2x^2 + 2x))) \\ &=&4(x(6x^2 + 6x)) \\ &=& 4(6x^3 + 6x^2) \\ &=& 24x^3 + 24x^2 \end{array}

0 Helpful 0 Interesting 1 Brilliant 0 Confused

Exactly how I did it! @Brilliant Mathematics

Yajat Shamji - 10 months, 2 weeks ago

Me too! This is distribution 5 5 times!

Lâm Lê - 9 months, 1 week ago

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