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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

4. Special Products

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Exercise 53 Page 32

Use the Square of a Binomial.

n^3-n^2p-np^2+p^3

Practice makes perfect

To simplify the given expression we will use the Square of a Binomial.

(n-p)^2(n+p)

ExpandNegPerfectSquare

(a-b)^2=a^2-2ab+b^2

(n^2-2np+p^2)(n+p)

Distribute (n^2-2np+p^2)

n( n^2-2np+p^2 )+p( n^2-2np+p^2 )

▼

Distribute n & p

Distribute n

n^3-2n^2p+np^2+p( n^2-2np+p^2 )

Distribute p

n^3-2n^2p+np^2+n^2p-2np^2+p^3

Finally, let's identify and combine like terms. n^3 - 2n^2p + np^2 + n^2p - 2np^2+ p^3 ⇕ n^3 - n^2p - np^2+ p^3

Subchapter links

Exercises p.30-33