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Subtraction of Algebraic ExpressionCovid19 has led the world to go through a phenomenal transition . Elearning is the future today. Stay Home , Stay Safe and keep learning!!! In Subtraction of Algebraic Expression from another,follow the following steps1) Change the signs. ~ez_lsquo+ez_rsquo~ > ‘ ‘ ‘‘ >~ez_rsquo+ez_rsquo~ of all the expressions which is to be subtracted and then the two expressions are added. _______________________________________________________________________ 2)Then add two expressions. Example : 1) Subtract 7x from 5x Solution : = 5x – ( 7x) =5x + 7x = 12x _______________________________________________________________________ 2)x ^{2} + y ^{2} + 3xy from 4x ^{2} + 2xy – 3y ^{2} Solution : =(4x ^{2} + 2xy – 3y ^{2} ) – (x ^{2} + y ^{2} + 3xy) = 4x ^{2} + 2xy – 3y ^{2}  x ^{2}  y ^{2}  3xy = 4x^{2} + 2xy – 3y^{2}  x^{2} – y^{2}  3xy = 3x ^{2}  xy – 4y ^{2} _______________________________________________________________________ 3)What should be subtracted from a ^{3}  4a ^{2} + 5a – 6 to obtain a ^{2}  2a + 1 ? Solution: Let 'X' denote the required expression, (a ^{3}  4a ^{2} + 5a – 6) – X = a ^{2}  2a + 1 Hence , X = (a ^{3}  4a ^{2} + 5a – 6) – (a ^{2}  2a + 1) = a ^{3}  4a ^{2} + 5a – 6  a ^{2} + 2a – 1 = a ^{3}  4a^{2} +5a – 6  a^{2} +2a –1 = a ^{3}  5a ^{2} + 7a – 7 _________________________________________________________________ 4)Subtract a ^{3}  4a ^{2} + 5a – 6 from the sum of 3a ^{3} + a ^{2} + 1 and a ^{2} 2? Solution: = [(3a ^{3} + a ^{2} + 1) + a ^{2} 2)]  (a ^{3}  4a ^{2} + 5a – 6 ) = (3a ^{3}+ a^{2} + 1 + a^{2} 2 )  (a ^{3}  4a ^{2} + 5a – 6 ) = (3a ^{3} + 2a ^{2} 1)  (a ^{3}  4a ^{2} + 5a – 6 ) = 3a ^{3} + 2a ^{2} 1  a ^{3} + 4a ^{2}  5a + 6 = 3a^{3} + 2a^{2} 1  a^{3} + 4a^{2}  5a + 6 = 2a ^{3} + 6a ^{2}  5a + 5 Algebraic Expressions • Like and Unlike terms in Algebra • Addition of algebraic expressions • Subtraction of algebraic expressions • Multiplication of algebraic expressions • Division of algebraic expressions Covid19 has affected physical interactions between people. Don't let it affect your learning.
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