Operation of Algebra By : Marfuatun Laela

Collecting like and unlike terms Simplify these expressions where possible s s s = 4s – 2p 3a + 4w s + p +3s -3p 2 2 X a X 3 X b b X b 2 x 3 x a x b 6 x a x b 6ab

Like Terms Like terms contain the same variable and have the same power. Example : 1). 9x and– 13x  like terms because the variable are same that is x 2). 4a2 and –a2  like terms because the powers are equal, that is 2.

Unlike Terms Unlike terms are terms that don’t have same variable and the power of the variable is not equal Example : 1). 2a and 3b  unlike terms because the variable are not equal 2). 2x2 and 11x  unlike terms, because the power of its variable is different

Problems Identify whether it is like term or unlike term) 2x and 5xy 4xy and -3xy 2a and a2 x2y and 5xy -3a3 and 2a

Addition and Subtracting Example : Simplify the following algebraic forms ! 9a + 2a 10x – 8x 3y – 7y a2 + 4a2 –2b3 + 4b3

Answer 1). 9a + 2a = (9 + 2)a  distributive law = 11 a 2). 10x – 8x = (10-2)x = 2x 3). 3y – 7y = (3-7)y = -4y 4). a2 + 4a2 = (1 + 4) a2 = 5 a2 5). –2b3 + 4b3 = (-2 + 4) b3 = 2 b3

Multiplication Example : Simplify ! 1). 5(a + 2b) 2). 7(2x – 5) Answer : 1). 5(a + 2b) = 5.a + 5.2b = 4a + 10b 2). 7(2x – 5) = 7.2x + 7.(-5) = 14x + (-35) = 14x -35

Problems Simplify the form of these algebra forms! 8a + 4a 3b + -5b 3a + 7b + 4a – 2b 5(3x + 4) 2(4x – 3y) -2(5p + 3q) -3(4a -5) 2(a+2b) + 5(a – 4b) 7p + 12q – 2(3p+q) 4(2x-y) – 3(x + y)