Explore Westonci.ca, the premier Q&A site that helps you find precise answers to your questions, no matter the topic. Get quick and reliable solutions to your questions from a community of experienced professionals on our platform. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.
Sagot :
Sure, let's add the given polynomials step by step:
We have the polynomials:
[tex]\[ (-4xz - 15xy) \][/tex]
and
[tex]\[ (20xy - 9yz - 16xz) \][/tex]
Step 1: Identify and group the like terms from each polynomial. Like terms have the same variables raised to the same power.
- The terms with [tex]\( xy \)[/tex]:
[tex]\[ -15xy \][/tex]
[tex]\[ 20xy \][/tex]
- The terms with [tex]\( xz \)[/tex]:
[tex]\[ -4xz \][/tex]
[tex]\[ -16xz \][/tex]
- The term with [tex]\( yz \)[/tex]:
[tex]\[ -9yz \][/tex]
Step 2: Combine the like terms:
- For the [tex]\( xy \)[/tex] terms:
[tex]\[ -15xy + 20xy = 5xy \][/tex]
- For the [tex]\( xz \)[/tex] terms:
[tex]\[ -4xz - 16xz = -20xz \][/tex]
- The [tex]\( yz \)[/tex] term remains as it is because there is only one [tex]\( yz \)[/tex] term:
[tex]\[ -9yz \][/tex]
Step 3: Write down the combined expression:
So,
[tex]\[ (-4xz - 15xy) + (20xy - 9yz - 16xz) \][/tex]
Simplifies to:
[tex]\[ 5xy - 20xz - 9yz \][/tex]
Therefore, the result of the addition is:
[tex]\[ 5xy - 20xz - 9yz \][/tex]
We have the polynomials:
[tex]\[ (-4xz - 15xy) \][/tex]
and
[tex]\[ (20xy - 9yz - 16xz) \][/tex]
Step 1: Identify and group the like terms from each polynomial. Like terms have the same variables raised to the same power.
- The terms with [tex]\( xy \)[/tex]:
[tex]\[ -15xy \][/tex]
[tex]\[ 20xy \][/tex]
- The terms with [tex]\( xz \)[/tex]:
[tex]\[ -4xz \][/tex]
[tex]\[ -16xz \][/tex]
- The term with [tex]\( yz \)[/tex]:
[tex]\[ -9yz \][/tex]
Step 2: Combine the like terms:
- For the [tex]\( xy \)[/tex] terms:
[tex]\[ -15xy + 20xy = 5xy \][/tex]
- For the [tex]\( xz \)[/tex] terms:
[tex]\[ -4xz - 16xz = -20xz \][/tex]
- The [tex]\( yz \)[/tex] term remains as it is because there is only one [tex]\( yz \)[/tex] term:
[tex]\[ -9yz \][/tex]
Step 3: Write down the combined expression:
So,
[tex]\[ (-4xz - 15xy) + (20xy - 9yz - 16xz) \][/tex]
Simplifies to:
[tex]\[ 5xy - 20xz - 9yz \][/tex]
Therefore, the result of the addition is:
[tex]\[ 5xy - 20xz - 9yz \][/tex]
Visit us again for up-to-date and reliable answers. We're always ready to assist you with your informational needs. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.