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Chapter 7: Q. 473 (page 901)

In the following exercises, factors completely:

3x2-75y2.

Short Answer

Expert verified

The factors for the expression is,3(x+5y)(x-5y).

Step by step solution

01

Step 1. Given Information.

The expression is,

3x2-75y2.

02

Step 2. Factor completely.

Taking 3common out,

3x2-75y2=3(x2-25y2)

Using a2-b2=(a+b)(a-b),

3(x2-25y2)=3[(x)2-(5y)2]

=3(x+5y)(x-5y).

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Most popular questions from this chapter

Factor Trinomials of the form x2+bx+c

u2+17u+72

Factor:6y3-15y2.

Factor by grouping

ax鈭�ay+bx鈭�by

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.

Solve:16y2=32y3+2y
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