Answered

Discover the answers you need at Westonci.ca, a dynamic Q&A platform where knowledge is shared freely by a community of experts. Get quick and reliable answers to your questions from a dedicated community of professionals on our platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

Use the distributive property to multiply the polynomials.

[tex]\[ -5x^2(6x - 1) \][/tex]

Enter the simplified polynomial expression in the box.

Sagot :

GinnyAnswer
Sure, let's simplify the polynomial expression [tex]\(-5 x^2 (6 x - 1)\)[/tex] step-by-step using the distributive property.

1. Distribute the [tex]\(-5 x^2\)[/tex] term across the terms inside the parentheses:

This means we will multiply [tex]\(-5 x^2\)[/tex] by each term inside the parentheses separately.

2. First, multiply [tex]\(-5 x^2\)[/tex] by [tex]\(6 x\)[/tex]:
[tex]\[ -5 x^2 \cdot 6 x = -30 x^3 \][/tex]

3. Next, multiply [tex]\(-5 x^2\)[/tex] by [tex]\(-1\)[/tex]:
[tex]\[ -5 x^2 \cdot (-1) = 5 x^2 \][/tex]

4. Combine the results:

So, the expression [tex]\(-5 x^2 (6 x - 1)\)[/tex] simplifies to:
[tex]\[ -30 x^3 + 5 x^2 \][/tex]

Therefore, the simplified polynomial expression is:
[tex]\[ -30 x^3 + 5 x^2 \][/tex]
We appreciate your visit. Hopefully, the answers you found were beneficial. Don't hesitate to come back for more information. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.