Square of Difference: Complete the missing numbers

Equations with denominatorsUsing quadrilateralsData with powers and rootsMore than one factorizationNumber of termsIdentify the greater valueUsing fractionsEquations with variables on both sidesResulting in a quadratic equationSystem of equations with no solutionUsing multiple rulesSolving the problemTransition between expressions
Question 1

Fill in the blanks:

\( (2x-?)^2=4x^2-12x+\text{?} \)

Question 2

Fill in the blanks:

\( x^2+?+9=(x-3)^2 \)

Question 3

Fill in the blanks:

\( (x-?)^2=x^2-?+25 \)

Question 4

Fill in the blanks:

\( (?\times x-?)^2=9x^2-24x+16 \)

Question 5

Fill in the blanks:

\( (?\times x-1)^2+(?\times x-2)^2=5x^2-8x+5 \)

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

Exercise #1

Fill in the blanks:

(2x−?)2=4x2−12x+? (2x-?)^2=4x^2-12x+\text{?}

Video Solution

Answer

3, 9 3,\text{ }9

Exercise #2

Fill in the blanks:

x2+?+9=(x−3)2 x^2+?+9=(x-3)^2

Video Solution

Answer

−6x -6x

Exercise #3

Fill in the blanks:

(x−?)2=x2−?+25 (x-?)^2=x^2-?+25

Video Solution

Answer

5, 10x 5,\text{ }10x

Exercise #4

Fill in the blanks:

(?×x−?)2=9x2−24x+16 (?\times x-?)^2=9x^2-24x+16

Video Solution

Answer

3, 4 3,\text{ }4

Exercise #5

Fill in the blanks:

(?×x−1)2+(?×x−2)2=5x2−8x+5 (?\times x-1)^2+(?\times x-2)^2=5x^2-8x+5

Video Solution

Answer

2, 1 2,\text{ }1