All categories

2 years ago

Multiple binomials by polynomials problem (2+3w)(w^2+6w+9)

Mathematics

1 answer:

muminat2 years ago

5 0

Answer:

3w³ + 20w² + 39w + 18

Step-by-step explanation:

It is given that,

(2 + 3w)(w² + 6w + 9)

<u>To find the multiplication</u>

(2 + 3w)(w² + 6w + 9) = 2 * w² + 2 * 6w + 2* 9 + 3w * w² +3w * 6w + 3w* 9

= 2w² + 12w + 18 + 3w³ + 18w² + 27w

= 3w³ + 20w² + 39w + 18

Therefore the final value = 3w³ + 20w² + 39w + 18

You might be interested in

Which expression is equivalent to ( 4mn / m^-2n^6)^-2

inn [45]

Here are a few rules with exponents that apply here:

Raising a power to a power: $(x^m)^n=x^{m*n}$
Dividing exponents of the same base: $\frac{x^m}{x^n}=x^{m-n}$
Converting negative exponents to positive ones: $x^{-m}=\frac{1}{x^m}\ \textsf{and}\ \frac{1}{x^{-m}}=x^m$

Firstly, solve the outer exponent:

$(\frac{4mn}{m^{-2}n^{6}})^{-2}=\frac{4^{-2}m^{-2}n^{-2}}{m^{-2*-2}n^{6*-2}}=\frac{4^{-2}m^{-2}n^{-2}}{m^4n^{-12}}$

Next, divide:

$\frac{4^{-2}m^{-2}n^{-2}}{m^4n^{-12}}=4^{-2}m^{-2-4}n^{-2-(-12)}=4^{-2}m^{-6}n^{10}$

Next, convert the negative exponents:

$4^{-2}m^{-6}n^{10}=\frac{n^{10}}{4^2m^6}=\frac{n^{10}}{16m^6}$

<u>Your final answer is n^10/16m^6 , or B.</u>

8 0

3 years ago

Omar's credit card has an APR of 26% calculated on the previous monthly

wariber [46]

Answer:

B. $257.33

Step-by-step explanation:

Interest will be charged on the New Balance after the Month 7 payment, $257.33.

4 0

2 years ago

Mandy borrows $10,000 for 3 years at a 6% interest. What is the cost of the loan, or total interest?

Sloan [31]

Answer:

te total intrestust be 31800 ok bye

3 0

2 years ago

Read 2 more answers

Which triangle similarity postulate can be used to justify that triangle XYZ is similar to triangle ABC?

Serga [27]

Answer:

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Choose a true statement

34kurt

Answer:

A true statement

Step-by-step explanation:

WHAT R THE STATEMENTS

7 0

3 years ago

Read 2 more answers