tuscany44
Answered

Welcome to Westonci.ca, where curiosity meets expertise. Ask any question and receive fast, accurate answers from our knowledgeable community. Get immediate and reliable answers to your questions from a community of experienced professionals on our platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

Multiply and simplify
(5a + 2bc) (5a - 2bc)

Sagot :

⇒ (a + b)(a - b) = a² - b²


Multiply and simplify :

[tex](5a + 2bc) (5a - 2bc) \\ =25a^2+10abc-10abc-4bc^2 \\ =25a^2-4b^2c^2[/tex]

AL2006
One of the tools that's great to keep in your algebra toolbox for the rest of your life is:

The product of (sum of 2 things) (difference of 2 things) = (difference in their squares).

For example:  (x + y) (x - y) = (x² - y²)

When you're trying to factor algebra expressions, it's always good to keep your
eyes open for the difference of two squares, and remember that it's going to be
(sum) x (difference) of the things that they're squares of.

Here you have (a sum) x (a difference) of the same 2 things:

(5a + 2bc) (5a - 2bc)

You can multiply them out, or just use the little tool above:

(5a)² = 25a²

(2bc)² = 4b²c²

So (their sum) x (their difference) is (25a² - 4b²c²) .



Visit us again for up-to-date and reliable answers. We're always ready to assist you with your informational needs. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.