Answered

Welcome to Westonci.ca, your ultimate destination for finding answers to a wide range of questions from experts. Our platform provides a seamless experience for finding reliable answers from a knowledgeable network of professionals. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

Select the correct answer.

What is the simplified form of this expression?
[tex]\[ \left(9x^2 + 10x + 4\right) - \left(9x^2 + 5x - 1\right) \][/tex]

A. [tex]\(x^2 + 15x + 3\)[/tex]

B. [tex]\(x^2 + 5x + 5\)[/tex]

C. [tex]\(15x + 3\)[/tex]

D. [tex]\(5x + 5\)[/tex]

Sagot :

GinnyAnswer
To simplify the given expression [tex]\(\left(9 x^2 + 10 x + 4\right) - \left(9 x^2 + 5 x - 1\right)\)[/tex], we'll perform the subtraction step-by-step by combining like terms.

1. Subtract the coefficients of [tex]\(x^2\)[/tex]:
[tex]\[ 9x^2 - 9x^2 = 0 \][/tex]

2. Subtract the coefficients of [tex]\(x\)[/tex]:
[tex]\[ 10x - 5x = 5x \][/tex]

3. Subtract the constant terms:
[tex]\[ 4 - (-1) = 4 + 1 = 5 \][/tex]

Putting it all together, the simplified form of the expression is:
[tex]\[ 0 x^2 + 5 x + 5 \][/tex]

We can ignore the [tex]\(0 x^2\)[/tex] term because it equals zero. This leaves us with:
[tex]\[ 5x + 5 \][/tex]

The correct answer is:

D. [tex]\(5 x + 5\)[/tex]
Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.