Concept explainers
In Exercises 55–62, factor the given expressions by grouping as Illustrated in Example 10.
am + an + cn + cm
EXAMPLE 10 Factoring by grouping
Factor: 2x ‒ 2y + ax ‒ ay.
We see that there is no common factor to all four terms, but that each of the first two terms contains a factor of 2, and each of the third and fourth terms contains a factor of a. Grouping terms this way and then factoring each group, we have
Want to see the full answer?
Check out a sample textbook solutionChapter 6 Solutions
Basic Technical Mathematics
- What is the component form of resultant of 4b⃗ −5a⃗ ? a⃗ =⟨1,−3⟩ b⃗ =⟨−1,2⟩ Enter your answer by filling in the boxes.arrow_forwardFind the coefficient of x4 in the expansion of (2-3x)6arrow_forwardFind the indicated coefficient or term. The coefficient of x in the expansion of (3x+2)^5arrow_forward
- Could you help me find the coefficent of anb2n in the expansion of (a + 2b)3n?arrow_forwardFind the coefficient of a?bi in the expansion of (2a - bj)^5arrow_forwardIn Exercises 13–16, find y′ (a) by applying the Product Rule and (b) bymultiplying the factors to produce a sum of simpler terms to differentiate.13. y = (3 - x2) (x3 - x + 1) 14. y = (2x + 3) (5x2 - 4x)15. y = (x2 + 1) (x + 5 + 1/x) 16. y = (1 + x2)(x^3/4 - x^-3)arrow_forward
- Elements Of Modern AlgebraAlgebraISBN:9781285463230Author:Gilbert, Linda, JimmiePublisher:Cengage Learning,Linear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage LearningAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage