Get the most out of your questions with the extensive resources available on IDNLearn.com. Discover trustworthy solutions to your questions quickly and accurately with help from our dedicated community of experts.
Sagot :
To find the sum of the polynomials [tex]\((8 x^2 - 9 y^2 - 4 x)\)[/tex] and [tex]\((x^2 - 3 y^2 - 7 x)\)[/tex], we must add the coefficients of like terms.
Here’s the step-by-step solution:
1. Identify the like terms:
- The [tex]\(x^2\)[/tex]-terms are [tex]\(8 x^2\)[/tex] from the first polynomial and [tex]\(x^2\)[/tex] from the second polynomial.
- The [tex]\(y^2\)[/tex]-terms are [tex]\(-9 y^2\)[/tex] from the first polynomial and [tex]\(-3 y^2\)[/tex] from the second polynomial.
- The [tex]\(x\)[/tex]-terms are [tex]\(-4 x\)[/tex] from the first polynomial and [tex]\(-7 x\)[/tex] from the second polynomial.
2. Add the coefficients of the [tex]\(x^2\)[/tex]-terms:
[tex]\[8 x^2 + x^2 = (8 + 1) x^2 = 9 x^2\][/tex]
3. Add the coefficients of the [tex]\(y^2\)[/tex]-terms:
[tex]\[-9 y^2 - 3 y^2 = (-9 - 3) y^2 = -12 y^2\][/tex]
4. Add the coefficients of the [tex]\(x\)[/tex]-terms:
[tex]\[-4 x - 7 x = (-4 - 7) x = -11 x\][/tex]
Putting it all together, the sum of the polynomials is:
[tex]\[9 x^2 - 12 y^2 - 11 x\][/tex]
Therefore, the correct answer is:
[tex]\[9 x^2 - 12 y^2 - 11 x\][/tex]
So, the sum of the polynomials is:
[tex]\[ \boxed{9 x^2 - 12 y^2 - 11 x} \][/tex]
Here’s the step-by-step solution:
1. Identify the like terms:
- The [tex]\(x^2\)[/tex]-terms are [tex]\(8 x^2\)[/tex] from the first polynomial and [tex]\(x^2\)[/tex] from the second polynomial.
- The [tex]\(y^2\)[/tex]-terms are [tex]\(-9 y^2\)[/tex] from the first polynomial and [tex]\(-3 y^2\)[/tex] from the second polynomial.
- The [tex]\(x\)[/tex]-terms are [tex]\(-4 x\)[/tex] from the first polynomial and [tex]\(-7 x\)[/tex] from the second polynomial.
2. Add the coefficients of the [tex]\(x^2\)[/tex]-terms:
[tex]\[8 x^2 + x^2 = (8 + 1) x^2 = 9 x^2\][/tex]
3. Add the coefficients of the [tex]\(y^2\)[/tex]-terms:
[tex]\[-9 y^2 - 3 y^2 = (-9 - 3) y^2 = -12 y^2\][/tex]
4. Add the coefficients of the [tex]\(x\)[/tex]-terms:
[tex]\[-4 x - 7 x = (-4 - 7) x = -11 x\][/tex]
Putting it all together, the sum of the polynomials is:
[tex]\[9 x^2 - 12 y^2 - 11 x\][/tex]
Therefore, the correct answer is:
[tex]\[9 x^2 - 12 y^2 - 11 x\][/tex]
So, the sum of the polynomials is:
[tex]\[ \boxed{9 x^2 - 12 y^2 - 11 x} \][/tex]
Answer:
hello
Step-by-step explanation:
8x²-9y²-4x + x²-3y² -7x
=8x²+x² -9y²-3y² -4x-7x
=9x²-12y² -11x
Your presence in our community is highly appreciated. Keep sharing your insights and solutions. Together, we can build a rich and valuable knowledge resource for everyone. Thank you for choosing IDNLearn.com. We’re committed to providing accurate answers, so visit us again soon.
