everlyrose0835
Answered

Explore Westonci.ca, the premier Q&A site that helps you find precise answers to your questions, no matter the topic. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

Does 4x^2-20x+25 equal (2x-5)^2?

Sagot :

DWRead

Answer:

Step-by-step explanation:

(2x-5)² = (2x)² - (2x⋅5) - (2x⋅5) + (-5)²

= 4x² - 20x + 25

xSoon

Answer:

4x^2-20x+25 DOES equal (2x-5)^2.

Step-by-step explanation:

By factoring 4x^2-20x+25, we have:

4x^2-20x+25 = (2x - 5)(2x - 5) because of the order for this multiplication as FOIL, or first, outside, inside, and last.

Firstly, we take the first numbers 2x * 2x = 4x, so we put this down as

4x^2

We then take the outside numbers 2x * -5 = -10x and also put this down

4x^2 - 10x

We then take the inside numbers 2x * -5 = -10x again and put this down

4x^2 - 10x - 10x, or 4x^2 - 20x

We then take the last numbers -5 * -5 = +25 and put this down

4x^2 - 20 + 25

We now know that 4x^2 - 20 + 25 is equal to (2x - 5)(2x - 5), and

(2x - 5)(2x - 5) is equal to (2x - 5)^2.

Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.