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Chapter 7: Q. 427 (page 900)

Factor Differences of Squares

In the following exercises, factor.

49u3-9u

Short Answer

Expert verified

The factors for49u3-9u=u(7u+3)(7u-3)

Step by step solution

01

Step 1. Given information

The given differences of squares49u3-9u

02

Step 2. Finding the factors for given differences of squares

Take uas common from the given differences of squares as follows 49u3-9u=u(49u2-9)

We can find the factors as follows

Use the sum product pattern

u(49u2-9)=u(49u2-21u+21u-9)

Common factors from the two pairs

u(7u(7u-3)+3(7u-3))

Rewrite in factored form

u(7u+3)(7u-3)

Therefore,the factors for49u3-9u=u(7u+3)(7u-3)

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Most popular questions from this chapter

The difference of squares y4-625can be factored as y2-25y2+25.But it is not completely factored. What more must be done to completely factor it?

Factor Differences of Squares

In the following exercises, factor.

81r2-25

In the following exercises, factor completely.

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Factor:24y3-12y2-20y

Watermelon drop A springtime tradition at the University of California San Diego is the Watermelon Drop, where a watermelon is dropped from the seventh story of Urey Hall.

(a) The binomial -16t2+80 gives the height of the watermelon t seconds after it is dropped. Factor the greatest common factor from this binomial.

(b) If the watermelon is thrown down with initial velocity 8 feet per second, its height after t seconds is given by the trinomial-16t2-8t+80.Completely factor this trinomial.
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