Worksheet on Multiplication of binomials

Q.1 Simplify  (i) (a²+b²)(a+b)  (ii) (3x²-y²)(10x²-3y²) (iii) 3x(-6x+11y)-(5x+12y)(2x+9y)  (iv) 7x(2x-3)-9x(2x²)-5x(2x+3)  Q.2 Simplify this  (7x-9y²)(2x²-3y)-(5x+2y)(9x-10y)-2x(3x+5y)  Q.3 Find the following products  (i) (10a-11b)(5a+1)  (ii) (1 – x3) × (x2 + 2) Answer Problem: 01 Simplify  (i) (a²+b²)(a+b)  (ii) (3x²-y²)(10x²-3y²) (iii) 3x(-6x+11y)-(5x+12y)(2x+9y)  (iv) 7x(2x-3)-9x(2x²)-5x(2x+3)  Solution:(i)  (a²+b²)(a+b) =a²(a+b)+b²(a+b)  (a²+b²)(a+b) =a³+a²b+b²a+b³ (a²+b²)(a+b) =a³+b³+ab(a+b)  Solution :(ii)  (3x²-y²)(10x²-3y²)=3x²(10x²-3y²)-y²(10x²-3y²) (3x²-y²)(10x²-3y²)=30-9x²y²-10x²y²+3 (3x²-y²)(10x²-3y²)=30+3-19x²y² Solution:(iii)  3x(-6x+11y)-(5x+12y)(2x+9y) =(-18x²+33xy)-{5x(2x+9y)+12x(2x+9y)} … Read more