factoring perfect square and difference of square trinomials

Front

What is a perfect square trinomial?

Back

A perfect square trinomial is a polynomial that can be expressed as the square of a binomial, typically in the form (a + b)² = a² + 2ab + b².

Tags

CCSS.HSA.APR.C.4

Front

Factor the expression: 25x² - 81

Back

(5x + 9)(5x - 9)

Tags

CCSS.HSA.APR.C.4

Front

What is the difference of squares formula?

Back

The difference of squares formula states that a² - b² = (a + b)(a - b).

Tags

CCSS.HSA.APR.C.4

Front

Factor the expression: 25x² + 60x + 36

Back

(5x + 6)²

Tags

CCSS.HSA.APR.C.4

Front

What does it mean for a number to be a perfect square?

Back

A perfect square is a number that can be expressed as the product of an integer with itself.

Tags

CCSS.8.EE.A.2

Front

Factor the expression: x² - 400

Back

(x - 20)(x + 20)

Tags

CCSS.HSA.APR.C.4

Front

What is the general form of a perfect square trinomial?

Back

The general form is a² + 2ab + b² or a² - 2ab + b².

Tags

CCSS.HSA.APR.C.4

Front

Identify the factors of the trinomial: x² + 10x + 25

Back

(x + 5)²

Tags

CCSS.HSA.APR.C.4

Front

What is the sum of squares?

Back

The sum of squares cannot be factored over the real numbers.

Tags

CCSS.HSA.APR.C.4

Front

Factor the expression: 4x² - 16

Back

4(x - 2)(x + 2)

Tags

CCSS.HSA.APR.C.4