Question

Knowledge Check Multiply. (7z+3y)(7z-3y) Simplify Your Answer.

Answer 1

Hello!

Answer:

`\Large \boxed{\sf 49z^2 - 9y^2}`

Explanation:

→ We want to simplify this expression:

`\sf (7z+3y)(7z-3y)`

→ We know that
`\sf (a+b)(a-b)` is equal to
`\sf a^2 - b^2`.

In our expression:

`\sf a = 7z\\b = 3y`

→ Let's apply this formula:

`\sf (7z)^2 - (3y)^2`

→ Simplify the expression:

`\boxed{\sf 49z^2 - 9y^2}`

Conclusion:

The expression (7z+3y)(7z-3y) is equal to 49z² - 9y².