Problem 63
Question
Factor each polynomial using the greatest common binomial factor. $$3 x(x+y)-(x+y)$$
Step-by-Step Solution
Verified Answer
The factored form of the given polynomial is \((x+y) (3x - 1)\).
1Step 1: 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.
2Step 2: Factoring out the common binomial
Factoring out \(x+y\) we have: \((x+y) (3x - 1).\)
3Step 3: 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 \((x+y) (3x - 1)\).
Other exercises in this chapter
Problem 63
Factor completely. $$15 x y^{2}+45 x y-60 x$$
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Solve each equation and check your solutions. $$2(x-4)^{2}+x^{2}=x(x+50)-46 x$$
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Factor any perfect square trinomials, or state that the polynomial is prime. $$x^{2}-8 x y+64 y^{2}$$
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Factor completely. $$4 y^{2}+2 y-30$$
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