Factor the expression: $$x^2 - 16$$

$$x^2 - 16 = (x + 4)(x - 4)$$ .

Factor the expression: $$x^2 + 10x + 25$$

$$x^2 + 10x + 25 = (x + 5)^2$$ .

Factor the expression: $$25x^2 - 70x + 49$$

$$25x^2 - 70x + 49 = (5x - 7)^2$$ .

Factor the expression: $$n^2 + 10n + 25$$

$$n^2 + 10n + 25 = (n + 5)^2$$ .

What is the first step in factoring a difference of squares?

Identify the two squares in the expression and apply the difference of squares formula: $$a^2 - b^2 = (a - b)(a + b)$$ .

What is the first step in factoring a perfect square trinomial?

Check if the trinomial can be expressed as $$a^2 + 2ab + b^2$$ or $$a^2 - 2ab + b^2$$ and then factor accordingly.

What is the significance of the coefficients in a perfect square trinomial?

The coefficients must satisfy the relationship $$b^2 = 4ac$$ for the trinomial to be a perfect square.

What is the general form of a perfect square trinomial?

The general form is $$a^2 + 2ab + b^2$$ or $$a^2 - 2ab + b^2$$ .

How do you verify if a factored expression is correct?

Multiply the factors back together to see if you obtain the original expression.

Resource Library

Math

Algebra

Perfect Square Trinomial

Factoring Difference Of Squares And Perfect Square Trinomials

Factoring Difference of Squares and Perfect Square Trinomials

Flashcard

•

Mathematics

•

10th Grade

•

Practice Problem

•

Hard

•

CCSS

HSA.APR.C.4, 6.EE.A.2C

Standards-aligned

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FLASHCARD QUESTION

Front

What is the difference of squares formula?

Back

Tags

CCSS.HSA.APR.C.4

FLASHCARD QUESTION

Front

What is a perfect square trinomial?

Back

Tags

CCSS.HSA.APR.C.4

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSA.APR.C.4

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSA.APR.C.4

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSA.APR.C.4

FLASHCARD QUESTION

Front

What does it mean if an expression is 'not factorable'?

Back

An expression is 'not factorable' if it cannot be expressed as a product of two or more factors using real numbers.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSA.APR.C.4

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