Examples with solutions for Square of sum: Number of terms

Exercise #1

Simplify the expression (x+y+1)2 (x+y+1)^2

Video Solution

Answer

x2+2x+y2+2y+2xy+1 x^2+2x+y^2+2y+2xy+1

Exercise #2

x2(x+4)2=40 x^2-(x+4)^2=40

Video Solution

Answer

x=7 x=-7

Exercise #3

(3+y3)2=(2+y)289y2 (3+\frac{y}{3})^2=(2+y)^2-\frac{8}{9}y^2

Video Solution

Answer

2.5

Exercise #4

7+(x5)2=(x+3)(x+3) 7+(x-5)^2=(x+3)(x+3)

Video Solution

Answer

x=11623 x=1\frac{16}{23}

Exercise #5

2x2+4xy+2y2+(x+y)2(x+y)= \frac{\sqrt{2x^2+4xy+2y^2+(x+y)^2}}{(x+y)}=

Video Solution

Answer

3 \sqrt{3}

Exercise #6

(8+3x)2=(5x+3)2(4x)2 (8+3x)^2=(5x+3)^2-(4x)^2

x=? x=\text{?}

Video Solution

Answer

3118 -3\frac{1}{18}

Exercise #7

(7+a)(7+a)=(12a+8)2+34a2 (7+a)(7+a)=(\frac{1}{2}a+8)^2+\frac{3}{4}a^2

a=? a=\text{?}

Video Solution

Answer

212 2\frac{1}{2}

Exercise #8

Find a a given that

2a(a5)=(a+3)2+(a3)2 2a(a-5)=(a+3)^2+(a-3)^2

Video Solution

Answer

1.8 -1.8

Exercise #9

(7+xy)2=3x2y2+49 (7+xy)^2=3x^2y^2+49

Video Solution

Answer

7y2 \frac{7}{y^2}

Exercise #10

(53a)2+a=(a+1)231a (5-3a)^2+a=(a+1)^2-31a

Video Solution

Answer

No solution