Algebra 1 - Factoring and Solving Differences of Squares

Which expression is called the 'difference of squares'?

• a^2 + b^2

• (a + b)^2

• a^2 - b^2

• a * b^2

What is the factored form of a^2 - b^2?

• (a - b)(a - b)

• (a + b)(a - b)

• (a + b)(a + b)

• a(a - b^2)

Factor the expression m^2 - 36.

• (m - 6)(m - 6)

• (m + 6)(m + 6)

• (m + 6)(m - 6)

• m(m - 36)

Factor the expression 8y^2 - 32 completely.

• 8(y^2 - 4)

• 8(y + 2)(y - 2)

• 4(2y^2 - 8)

• (8y + 4)(y - 8)

Factor the expression: 2x^2 - 128y^2

• 2(x - 8y)(x - 8y)

• 2(x + 8y)(x - 8y)

• 2(x^2 - 64y^2)

• 2(x + 64y)(x - 64y)

Factor the expression: 36y^3 - 9y

• 9y(4y^2 - 1)

• 9y(2y + 1)(2y - 1)

• 9(4y^3 - y)

• 9y(2y - 1)^2

Factor the expression: 3x^4 - 48x^2

• 3x^2(x^2 - 16)

• 3x^2(x + 4)(x - 4)

• 3x^2(x - 4)^2

• 3x(x^3 - 16x)

Factor the expression: 16m^3 - 100m

• 4m(4m^2 - 25)

• 4m(2m + 5)(2m - 5)

• 4m(2m - 5)^2

• 4(4m^3 - 25m)