Multiplying binomials intro

Binomial An algebraic expression which contains two terms is known as Binomial  Example 1 : 2x + 3x2  It is a Binomial, because it contains two terms 2x and 3x2  Example 2 : 9pq + 11p2q It is a Binomial, because it contains two terms 9pq and 11p2q

"FOIL" Method  for multiplying binomial FOIL stands for "First, Outer, Inner, Last"  It is the sum of: · multiplying the First terms of each binomial, · multiplying the Outer terms of each binomial, · multiplying the Inner terms of each binomial, and · multiplying the Last terms of each binomial Recap: Multiplying powers with the same base: Add the exponents. (am)x(an) = am+n For example: ( a3 )x(a2) = a3+2 = a5

Ans: x2 + 6x + 8 Example 1: Multiply (x+2) (x+4) Solution: F : (x + 2) (x + 4) O : (x + 2) (x + 4) I : (x + 2) (x + 4) L : (x + 2) (x + 4) F : Multiplying the first term of each binomial we get x x x = x 2 O : Multiplying the outer term of each binomial, we get x x 4 = 4x I : Multiplying the inner term of each binomial, we get 2 x x = 2x L : Multiplying the last term of each binomial, we get 2 x 4 = 8 After taking sum of above , we get x2 + 4x + 2x + 8 = x2 + 6x + 8 Ans: x2 + 6x + 8

Ans: -x2 + 4x - 3 Example 2: (-x + 3)(x – 1) Solution: F: (-x + 3) (x - 1) O: (-x + 3) (x - 1) I: (-x + 3) (x - 1) L: (-x + 3) (x - 1) F : Multiplying the first term of each binomial we get (-x) x x = -x2 O : Multiplying the outer term of each binomial, we get (-x) x (-1) = x I : Multiplying the inner term of each binomial, we get 3 x x = 3x L : Multiplying the last term of each binomial, we get 3 x (-1) = -3 After taking sum of above , we get -x2 + x + 3x + (-3) = -x2 + x + 3x -3 = -x2 + 4x - 3 Ans: -x2 + 4x - 3

Try These Multiply (j - 6) (j + 4) Multiply (-m + 8) (m - 9)