Examples with solutions for Extended Distributive Property: Complete the missing number

Exercise #1

Fill in the missing number

a2+7a+12=(a+?)(4+a) a^2+7a+12=(a+?)(4+a)

Video Solution

Answer

3 3

Exercise #2

Fill in the missing number

(a+2)(?a+5)=2a2+9a+10 (a+2)(?a+5)=2a^2+9a+10

Video Solution

Answer

2 2

Exercise #3

Complete the missing element

(a+?)(a+3)=a2+3a+2ab+6b (a+?)(a+3)=a^2+3a+2ab+6b

Video Solution

Answer

2b 2b

Exercise #4

Fill in the missing number

(3x+4)(5+?)=15x+3xy+4y+20 (3x+4)(5+?)=15x+3xy+4y+20

Video Solution

Answer

y y

Exercise #5

Fill in the missing number

(5+2y)(y?)=2y29y+10 (-5+2y)(y-?)=2y^2-9y+10

Video Solution

Answer

2 2

Exercise #6

Complete the missing element

(m+n)(4+?)=n2+mn+4m+4n (m+n)(4+?)=n^2+mn+4m+4n

Video Solution

Answer

n n

Exercise #7

Complete the missing element

(4y)(2x?)=8x164y+2xy (-4-y)(-2x-?)=8x-16-4y+2xy

Video Solution

Answer

4 -4

Exercise #8

Complete the missing element

(3x8)(4+?)=3x24x+32 (3x-8)(-4+?)=-3x^2-4x+32

Video Solution

Answer

x -x

Exercise #9

Fill in the missing number

(x4y)(2x+?)=2x212y8xy+3 (x-4y)(2x+?)=2x^2-12y-8xy+3

Video Solution

Answer

12y+3x4y \frac{-12y+3}{x-4y}

Exercise #10

Complete the missing element

(a+?)(2a+4)=2a220a+48 (a+?)(-2a+4)=-2a^2-20a+48

Video Solution

Answer

12 12

Exercise #11

Complete the missing element

(x+2)(?4)=a+2ax4x8 (x+2)(?-4)=a+2\frac{a}{x}-4x-8

Video Solution

Answer

ax \frac{a}{x}

Exercise #12

Complete the missing element

(x+?)(x8)=x25x24 (x+?)(x-8)=x^2-5x-24

Video Solution

Answer

3 3

Exercise #13

Complete the missing element

(2y+z)(z?)=4z+8yz22yz -(2y+z)(z-?)=4z+8y-z^2-2yz

Video Solution

Answer

4 4

Exercise #14

Complete the missing element

(?x+8)(a9)=13xa3x+8a72 (?x+8)(a-9)=\frac{1}{3}xa-3x+8a-72

Video Solution

Answer

13 \frac{1}{3}

Exercise #15

Fills in the missing element

(2a+b)(3b?)=6ab+5a+2b (2a+b)(3b-?)=6ab+5a+2b

Video Solution

Answer

No adequate solution

Exercise #16

Complete the missing element

(a+4)(?+b)=ac+ab+4c+4b (a+4)(?+b)=ac+ab+4c+4b

Video Solution

Answer

c c

Exercise #17

(x+?)(x+?)=x2+7x+10 (x+?)(x+?)=x^2+7x+10

Video Solution

Answer

(x+5)(x+2) \left(x+5\right)\left(x+2\right)

Exercise #18

(x?)(x?)=x2x+0.25 \left(x-?\right)\left(x-?\right)=x^2-x+0.25

Video Solution

Answer

(x12)(x12) \left(x-\frac{1}{2}\right)\left(x-\frac{1}{2}\right)

Exercise #19

(x?)(x+?)=x2+x12 (x-?)(x+?)=x^2+x-12

Video Solution

Answer

(x3)(x+4) \left(x-3\right)\left(x+4\right)

Exercise #20

(x+?)(x?)=x23x40 (x+?)(x-?)=x^2-3x-40

Video Solution

Answer

(x+5)(x8) \left(x+5\right)\left(x-8\right)