SOLUTION: Rewrite each of the following expression as the product of two binomials by factoring out a common binomial factor 1) (X+5)(X-1)+(X+5)(2X-3) 2) (2X-1)(2X+7)-(2X-1)(X-3)

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Rewrite each of the following expression as the product of two binomials by factoring out a common binomial factor 1) (X+5)(X-1)+(X+5)(2X-3) 2) (2X-1)(2X+7)-(2X-1)(X-3)      Log On


   

Question 1004042: Rewrite each of the following expression as the product of two binomials by factoring out a common binomial factor
1) (X+5)(X-1)+(X+5)(2X-3)
2) (2X-1)(2X+7)-(2X-1)(X-3)
Answer by rosey51235(30) About Me  (Show Source):
You can put this solution on YOUR website!
1) (X+5)(X-1)+(X+5)(2X-3)
-on each side of the plus sign there is multiplication by (X+5)
-factor this out by putting it out in front of the whole equation
(X+5)((X-1)+(2X-3))
-solve the addition part of the equation
-look at only the x's first. x+2x=3x
-look at only the constant numbers next. -1+-3=-4
-combine them! 3x-4
-product of 2 binomials: (X+5)(3X-4)
2) (2X-1)(2X+7)-(2X-1)(X-3)
-this common factor is (2X-1)
(2X-1)((2X+7)-(X-3))
-look at the x's: 2X-X=X
-look at the constants: 7--3=7+3=10
-combine: X+10
-product of 2 binomials: (2X-1)(X+10)
Hope I helped :)
-rosey51235