Expand. If necessary, combine like terms. (3x+7)(3x-7)=

Recognize the pattern: Recognize the pattern in the expression (3x+7)(3x-7). This expression is in the form of (a+b)(a-b), which is a difference of squares. Difference of squares formula: (a+b)(a-b) = a^2 - b^2Identify values of a and b: Identify the values of a and b. Compare (3x+7)(3x-7) with (a+b)(a-b). a = 3x b = 7Apply difference of squares formula: Apply the difference of squares formula to expand (3x+7)(3x-7). (a+b)(a-b) = a^2 - b^2 (3x+7)(3x-7) = (3x)^2 - (7)^2Calculate squares of a and b: Calculate the squares of a and b. (3x)^2 = 9x^2 (7)^2 = 49Substitute squares back into expanded form: Substitute the squares back into the expanded form. (3x+7)(3x-7) = 9x^2 - 49

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Expand. If necessary, combine like terms.

(3x+7)(3x-7)=

Expand. If necessary, combine like terms. $\newline$ $(3x+7)(3x-7)=$

View step-by-step help

Home

Math Problems

Algebra 1

Multiply two binomials: special cases

Full solution

Q. Expand. If necessary, combine like terms.

\newline

(3x+7)(3x-7)=

Recognize the pattern: Recognize the pattern in the expression $(3x+7)(3x-7)$ . $\newline$ This expression is in the form of $(a+b)(a-b)$ , which is a difference of squares. $\newline$ Difference of squares formula: $(a+b)(a-b) = a^2 - b^2$
Identify values of a and b: Identify the values of $a$ and $b$ . Compare $(3x+7)(3x-7)$ with $(a+b)(a-b)$ . $a = 3x$ $b = 7$
Apply difference of squares formula: Apply the difference of squares formula to expand $(3x+7)(3x-7)$ . $\newline$ $(a+b)(a-b) = a^2 - b^2$ $\newline$ $(3x+7)(3x-7) = (3x)^2 - (7)^2$
Calculate squares of a and b: Calculate the squares of $a$ and $b$ . $\newline$ $(3x)^2 = 9x^2$ $\newline$ $(7)^2 = 49$
Substitute squares back into expanded form: Substitute the squares back into the expanded form. $\newline$ $(3x+7)(3x-7) = 9x^2 - 49$