Examples with solutions for Factorization - Common Factor: Matching expressions equal in value

Exercise #1

Choose the expression that is equivalent to the following:

15z2+50zx 15z^2+50zx

Video Solution

Answer

5z(3z+10x) 5z(3z+10x)

Exercise #2

Which expression is equivalent in value to the following:

99ab2+81b 99ab^2+81b

Video Solution

Answer

9b(11ab+9) 9b(11ab+9)

Exercise #3

Which of the expressions is equivalent to the expression?

164c 16-4c

Video Solution

Answer

4(4c) 4(4-c)

Exercise #4

Which of the expressions is equivalent to the expression?

2a(b+3)+4(b+3) 2a(b+3)+4(b+3)

Video Solution

Answer

(b+3)(2a+4) (b+3)(2a+4)

Exercise #5

Which of the expressions is equivalent to the expression?

2xy+x2+3x 2xy+x^2+3x

Video Solution

Answer

x(2y+x+3) x(2y+x+3)

Exercise #6

Which of the expressions is equivalent to the expression?

7z+10b+2bz+35 7z+10b+2bz+35

Video Solution

Answer

(7+2b)(z+5) (7+2b)(z+5)

Exercise #7

Which of the expressions is equivalent to the expression?

8x2+4x 8x^2+4x

Video Solution

Answer

4x(2x+1) 4x(2x+1)

Exercise #8

Which of the expressions is equivalent to the expression?

6mn+3nm+9n2 6mn+\frac{3n}{m}+9n^2

Video Solution

Answer

3n(2m+1m+3n) 3n(2m+\frac{1}{m}+3n)

Exercise #9

Which of the expressions are equal to the expression?

12n+4836mn144m 12n+48-36mn-144m

  1. 12(13m)(n+4) 12(1-3m)(n+4)

  2. 3(412m)(n+4) 3(4-12m)(n+4)

  3. 12(3m+4)(n+1) 12(-3m+4)(n+1)

  4. 12(n+4)3m(12n+48) 12(n+4)-3m(12n+48)

Video Solution

Answer

1,2,4 1,2,4

Exercise #10

Which of the expressions are equal to the expression?

2ab4bc 2ab-4bc

  1. 2b(a2c) 2b(a-2c)

  2. 2b(2c+a) 2b(-2c+a)

  3. 2(2bc+ab) 2(-2bc+ab)

  4. 2a(2bcb) 2a(2bc-b)

Video Solution

Answer

1,2,3 1,2,3

Exercise #11

Which of the expressions are equal to the expression?

6x2+8xy 6x^2+8xy

  1. 2(3x24xy) -2(-3x^2-4xy)

  2. 2(3x2+4xy) 2(3x^2+4xy)

  3. 2x(3x+4y) 2x(3x+4y)

  4. 2y(3x2y+4x) 2y(\frac{3x^2}{y}+4x)

Video Solution

Answer

All expressions are equal

Exercise #12

Which of the expressions are equal to the expression?

14mn+21m2 \frac{14m^{}}{n}+21m^2

  1. 7m(2n+3m) 7m(\frac{2}{n}+3m)

  2. 7(2nm+3m2) 7(\frac{2}{nm}+3m^2)

  3. mn(14+3m) \frac{m}{n}(14+3m)

  4. 7mn(2+3mn) 7\frac{m}{n}(2+3mn)

Video Solution

Answer

1,4 1,4

Exercise #13

Which of the expressions are equal to the expression?

36tr18rt2 \frac{36t}{r}-18rt^2

  1. 18(2trrt2) 18(\frac{2t}{r}-rt^2)

  2. 18r(2tr2t2) 18r(\frac{2t}{r^2}-t^2)

  3. 18(rt+2tr) -18(rt+\frac{2t}{r})

  4. 6t(6tr3rt) 6t(\frac{6t}{r}-3rt)

Video Solution

Answer

1,2 1,2

Exercise #14

Which of the following expressions have the same value?

  1. (6b+3)(2+a) (6b+3)(-2+a)

  2. (2b+1)(3a6) (2b+1)(3a-6)

  3. (a+3)(6b2) (a+3)(6b-2)

  4. 6ab+3a12b6 6ab+3a-12b-6

Video Solution

Answer

1,2,4 1,2,4