Factor Perfect Square Binomials

Front

What is a perfect square binomial?

Back

A perfect square binomial is an expression that can be written in the form (a + b)² or (a - b)², which expands to a² + 2ab + b² or a² - 2ab + b² respectively.

Front

How do you identify a perfect square trinomial?

Back

A perfect square trinomial can be identified if it can be expressed as the square of a binomial, meaning it has the form a² ± 2ab + b².

Front

What is the factored form of x² - 12x + 36?

Back

(x - 6)(x - 6) or (x - 6)².

Front

Factor completely: 9m² + 30mn + 25n².

Back

(3m + 5n)².

Front

What is the factored form of x² - 169?

Back

(x + 13)(x - 13).

Front

Factor completely: b² - 22b + 121.

Back

(b - 11)².

Front

Factor: x² + 24x + 144.

Back

(x + 12)².

Front

What is the formula for factoring a² - b²?

Back

a² - b² = (a + b)(a - b).

Front

What is the relationship between the coefficients in a perfect square trinomial?

Back

In a perfect square trinomial, the middle term is twice the product of the square roots of the first and last terms.

Front

How do you check if a trinomial is a perfect square?

Back

To check, see if the first and last terms are perfect squares and if the middle term equals twice the product of their square roots.