Examples with solutions for Square of Difference: Using multiple rules

Exercise #1

(a+3b)2(3ba)2=? (a+3b)^2-(3b-a)^2=\text{?}

Video Solution

Answer

12ab 12ab

Exercise #2

(x+3)2+(x3)2=? (x+3)^2+(x-3)^2=\text{?}

Video Solution

Answer

2x2+18 2x^2+18

Exercise #3

(x+y)2(xy)2+(xy)(x+y)=? (x+y)^2-(x-y)^2+(x-y)(x+y)=\text{?}

Video Solution

Answer

x2+4xyy2 x^2+4xy-y^2

Exercise #4

Find a X given the following equation:

(x+3)2+(2x3)2=5x(x35) (x+3)^2+(2x-3)^2=5x(x-\frac{3}{5})

Video Solution

Answer

6 6

Exercise #5

(x+3)2=(x3)2 (x+3)^2=(x-3)^2

Video Solution

Answer

x=0 x=0

Exercise #6

(23+m4)243(m423)2=? (\frac{2}{3}+\frac{m}{4})^2-\frac{4}{3}-(\frac{m}{4}-\frac{2}{3})^2=\text{?}

Video Solution

Answer

(2m+2)(2m2)3 \frac{(\sqrt{2m}+2)(\sqrt{2m}-2)}{3}

Exercise #7

(x34)2+x(8x3+2)(8x32)=? (\frac{x}{3}-4)^2+x(\frac{\sqrt{8x}}{3}+2)(\frac{\sqrt{8x}}{3}-2)=\text{?}

Video Solution

Answer

x2623x+16 x^2-6\frac{2}{3}x+16