Difference of squares: Complete the missing numbers

Finding the Domain of a Square Root FunctionIdentify the greater valueMore than one factorizationUsing rootsEquations with denominatorsWorded problemsUsing fractionsUsing quadrilateralsNumber of termsUsing multiple rules
Question 1

Fill in the missing element to obtain a true expression:

\( (_—+3)\cdot(_—-3)=x^2-9 \)

Question 2

Fill in the missing element to obtain a true expression:

\( (x+_—)\cdot(x-_—)=x^2-121 \)

Question 3

Fill in the missing element to obtain a true expression:

\( 2x^2-_{_—}=2(x-4)\cdot(x+4) \)

Question 4

Fill in the missing element to obtain a true expression:

\( x^2-36=(x-_—)\cdot(_—+x) \)

Question 5

Fill in the missing element to obtain a true expression:

\( x^2-49=(x-_—)\cdot(x+_—) \)

Examples with solutions for Difference of squares: Complete the missing numbers

Exercise #1

Fill in the missing element to obtain a true expression:

(—+3)⋅(—−3)=x2−9 (_—+3)\cdot(_—-3)=x^2-9

Video Solution

Answer

x x

Exercise #2

Fill in the missing element to obtain a true expression:

(x+—)⋅(x−—)=x2−121 (x+_—)\cdot(x-_—)=x^2-121

Video Solution

Answer

11

Exercise #3

Fill in the missing element to obtain a true expression:

2x2−—=2(x−4)⋅(x+4) 2x^2-_{_—}=2(x-4)\cdot(x+4)

Video Solution

Answer

32

Exercise #4

Fill in the missing element to obtain a true expression:

x2−36=(x−—)⋅(—+x) x^2-36=(x-_—)\cdot(_—+x)

Video Solution

Answer

6

Exercise #5

Fill in the missing element to obtain a true expression:

x2−49=(x−—)⋅(x+—) x^2-49=(x-_—)\cdot(x+_—)

Video Solution

Answer

7

Question 1

Fill in the missing element to obtain a true expression:

\( x^2-64=(x-_—)(_—+x) \)

Question 2

\( x^2-6=(x-_—)\cdot(x+_—) \)

Exercise #6

Fill in the missing element to obtain a true expression:

x2−64=(x−—)(—+x) x^2-64=(x-_—)(_—+x)

Video Solution

Answer

8

Exercise #7

x2−6=(x−—)⋅(x+—) x^2-6=(x-_—)\cdot(x+_—)

Video Solution

Answer

6 \sqrt{6}