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Tanzania [10]
4 years ago
11

Multiplying Polynomials and Simplifying Expressions

Mathematics
1 answer:
sergij07 [2.7K]4 years ago
8 0

Given:

Polynomials: a+3 \text { and }-2 a^{2}+15 a+6 b^{2}

To find:

The product of the polynomials.

Solution:

(a+3)(-2 a^{2}+15 a+6 b^{2})

Using distributive property: x(y+z)=xy+xz

(a+3)(-2 a^{2}+15 a+6 b^{2})=a(-2 a^{2}+15 a+6 b^{2})+3(-2 a^{2}+15 a+6 b^{2})

Now multiply each of the first term with each of the second term.

                             =a\left(-2 a^{2}\right)+a \cdot 15 a+a \cdot 6 b^{2}+3\left(-2 a^{2}\right)+3 \cdot 15 a+3 \cdot 6 b^{2}

Applying plus minus rule: +(-x)=-x

                            =-2 a^{2} \cdot a+15 a \cdot a+6 a\cdot  b^{2}-3 \cdot 2 a^{2}+3 \cdot 15 a+3 \cdot 6 b^{2}

Apply the exponent rule: x^{n} \cdot x^{m}=x^{n+m}

                          =-2 a^{3}+15 a^2+6 a  b^{2}-6 a^{2}+45 a+18 b^{2}

Add or subtract the like terms:

                          =-2 a^{3}+15 a^2-6a^2+6 a  b^{2}+45 a+18 b^{2}

                          =-2 a^{3}+9 a^{2}+6 a b^{2}+45 a+18 b^{2}

Arrange in the order.

                          =-2 a^{3}+9 a^{2}+45 a+6 a b^{2}+18 b^{2}

The product of a+3 \text { and }-2 a^{2}+15 a+6 b^{2} -2 a^{3}+9 a^{2}+45 a+6 a b^{2}+18 b^{2}.

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\huge\text{Hey there!}

\huge\text{350 rounded to the nearest hundred is...}

\huge\text{Rounding is basically is the}\\\huge\text{approximation of the given number.}

\huge\bullet\huge\text{ So, when you are looking at 350, you are}\\\huge\text{asking yourself is it closer to 300 or 400.}\\\huge\text{If you are looking at the number correctly}\\\huge\text{you would see it is closer to \underline{\underline{400}} when you}\\\huge\text{rounded to NEAREST HUNDRED.}

\huge\boxed{\textsf{Therefore, your ANSWER/RESULT is: \bf 400}}\huge\checkmark

\huge\text{Good luck on your assignment \& enjoy your day!}

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3 years ago
Pls help if good at math
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Answer:

C

Step-by-step explanation:

All odd prime numbers up to 16:

3, 5, 7, 11, 13

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3, 4, 5, 7, 8, 11, 12, 13, 16

There are 9 things on that list. The probability is equal to:

\frac{9}{16}=c) 0.563

Please mark brainliest. Have a nice day!

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5-(6- 9x)=1-(4-10 ) please​
MAVERICK [17]

\qquad\qquad\huge\underline{{\sf Answer}}♨

Let's solve ~

\qquad \sf  \dashrightarrow \:5 - ( 6 - 9x) = 1 - (4 - 10)

\qquad \sf  \dashrightarrow \:5 - 6 + 9x = 1 - 4 + 10

\qquad \sf  \dashrightarrow \: 9x - 1 = 7

\qquad \sf  \dashrightarrow \:9x = 8

\qquad \sf  \dashrightarrow \:x =  \dfrac{8}{9}

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Answer:

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Step-by-step explanation:

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  2. m=\frac{f(1)-f(0)}{1-0}= [1-(-1)]/1
  3. m=2
6 0
3 years ago
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