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Chapter 6: Problem 63

Factor each polynomial using the greatest common binomial factor. $$3 x(x+y)-(x+y)$$

Short Answer

Expert verified
The factored form of the given polynomial is \((x+y) (3x - 1)\).

Step by step solution

01

Identifying the binomial factor

The given expression is \(3x(x+y) - (x+y)\). Here, the common binomial is \(x+y\) which is present in both terms.
02

Factoring out the common binomial

Factoring out \(x+y\) we have: \((x+y) (3x - 1).\)
03

Presenting the Final Answer

After factoring the common binomial out of both terms of the original polynomial, the final factored form of the polynomial is \((x+y) (3x - 1)\).

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Most popular questions from this chapter

Contain polynomials in several variables. Factor each polynomial completely and check using multiplication. $$2 b x^{2}+44 b x+242 b$$

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Now let's move on to factorizations that may require two or more techniques. Factor completely, or state that the polynomial is prime. Check factorizations using multiplication or a graphing utility. $$20 a^{4}-45 a^{2}$$

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Factor completely. $$y^{7}+y$$
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