Examples with solutions for Variables and Algebraic Expressions: Extended distributive law

Exercise #1

(x+m)(34+5x)=? (x+m)(\frac{3}{4}+5x)=\text{?}

Video Solution

Answer

34x+5x2+34m+5mx \frac{3}{4}x+5x^2+\frac{3}{4}m+5mx

Exercise #2

(a+b)(3+ab)=? (a+b)(3+\frac{a}{b})=\text{?}

Video Solution

Answer

4a+a2b+3b 4a+\frac{a^2}{b}+3b

Exercise #3

(34+2a)(8a+9ba)(5+a)(32a+b)=? (\frac{3}{4}+2a)(8a+9ba)-(5+a)(\frac{3}{2}a+b)=\text{?}

Video Solution

Answer

32a+534ab+1412a2+(18a25)b -\frac{3}{2}a+5\frac{3}{4}ab+14\frac{1}{2}a^2+(18a^2-5)b