Mathematics 21a Lecture 1: Class 8 -Simplification of Algebraic Equations- Exercise 21A
3 Jan 2018
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Class 8: simplification of algebraic equations- exercise 21a. 1) \ \ ab^2 \ \ and\ \ a^2 b. 2) \ \ a^3 b^2 \ \ and\ \ a^2 b^4. 3) \ \ 4x^2 y^3 \ \ and\ \ 6xy^4. 4) \ \ 6abc \ \ and\ \ 9bc^2 d. 5) \ \ 2m^2 n^3, \ \ 3mn^2 \ \ and\ \ 4m^3 n. 6) \ \ 5x^3 y^2, 10x^2 z^2 \ \ and\ \ 15y^3 z^3. 7) \ \ 6x^2 y^2 z^4, 9x^4 y^5 z \ \ and\ \ 12xy^2 z^3. 1) \ \ x^2-a^2 \ \ and\ \ x^2-ax. 2) \ \ 9a^2-16b^2 \ \ and\ \ 6a^2+8ab. 3) \ \ x^3-16x \ \ and\ \ x^3+2x^2-24x. 5) \ \ x^2-36 \ \ and\ \ 2x^2-15x+18. 6) \ \ 6a^2 b (a^2-b^2 ) \ \ and\ \ 4ab^2 (a+b)^2. 7)\ \ xy+y^2, xy-y^2 \ \ and\ \ x^2 y^2-y^4. We have xy+y^2=y(x+y) xy-y^2=y(x-y) x^2 y^2-y^4=y^2 (x^2-y^2 )= y^2 (x-y)(x+y)
