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Artyom0805 [142]
3 years ago
8

Simplify the expression (-2y+5)(y+3)

Mathematics
1 answer:
dsp733 years ago
6 0

Answer:

=-2y^2-y+15

Step-by-step explanation:

\left(-2y+5\right)\left(y+3\right)\\\mathrm{Apply\:FOIL\:method}:\quad \left(a+b\right)\left(c+d\right)=ac+ad+bc+bd\\a=-2y,\:b=5,\:c=y,\:d=3\\=\left(-2y\right)y+\left(-2y\right)\cdot \:3+5y+5\cdot \:3\\Apply\:minus-plus\:rules\\+\left(-a\right)=-a\\=-2yy-2\cdot \:3y+5y+5\cdot \:3\\\mathrm{Simplify}\:-2yy-2\cdot \:3y+5y+5\cdot \:3:\quad -2y^2-y+15\\-2yy-2\cdot \:3y+5y+5\cdot \:3

2yy=2y^2\\2yy\\\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}\\yy=\:y^{1+1}\\=2y^{1+1}\\\mathrm{Add\:the\:numbers:}\:1+1=2\\=2y^2\\2\cdot \:3y=6y\\2\cdot \:3y\\\mathrm{Multiply\:the\:numbers:}\:2\cdot \:3=6\\=6y

5\cdot \:3=15\\5\cdot \:3\\\mathrm{Multiply\:the\:numbers:}\:5\cdot \:3=15\\=15\\=-2y^2-6y+5y+15\\\mathrm{Add\:similar\:elements:}\:-6y+5y=-y\\=-2y^2-y+15

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Translate each English phrase in the following problem into an algebraic expression and set up the related equation. Let z be th
Ede4ka [16]

The English phrase of the obtained equation is 12 times z subtracted by 3. The obtained equation after solving is 12z -23

<h3>What exactly is simplification?</h3>

Simplifying means making something easier to do or comprehend, as well as making something less difficult.

Given data;

z be the unknown number

Given conditions;

1. The difference between a number and −23.

2.−23 is equal to the product of the number and 13.

The mathematical form of the given phrase is;

⇒ z - (-23) = z × 13

⇒z+23 = 13z

⇒12z -23

The English phrase of the obtained equation is 12 times z subtracted by 3.

Hence the simplification of the given expressions is 12z -23.

To learn more about the simplification, refer to:

brainly.com/question/23509407

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6 0
2 years ago
What is the correct decimal expansion for 2 1/11 ​?<br> A. 2.09<br> B. 2.57<br> C. 2.09<br> D. 2.11
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Your choices A and C are the same

but the decimal of 1/11 is 0.090909

so your answer would be 2.09

3 0
3 years ago
Find the value of x. Write your answer in simplest radical form.
Georgia [21]
25 because
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4 0
3 years ago
Consider the Polynomial P(x)=x^3-5x^2-x+5. is (x-5) a factor?
Alborosie

Answer:

Option B, Yes, the remainder is 0, so x-5 is a factor of P(x)

Step-by-step explanation:

<u>Step 1:  Factor</u>

p(x) = x^3 - 5x^2 - x + 5

<em>p(x) = (x - 5)(x + 1)(x - 1)</em>

<em />

<em>Yes, the remainder is 0 so, x-5 is a factor of p(x)</em>

<em />

Answer:  Option B, Yes, the remainder is 0, so x-5 is a factor of P(x)

8 0
3 years ago
2.<br>Remove the brackets and simplify <br>a) (x + 1) + (x + 2)?​
devlian [24]

Step-by-step explanation:

✲ \text{(x + 1) + (x + 2)}

Remove the unnecessary brackets :

⇢ \text{x + 1 + x + 2}

Combine like terms. Like terms are those which have the same base. Only coefficients of like terms can be added or subtracted.

⇢ \text{x + x + 1 + 2}

⇢ \text{2x + 3}

\red{ \boxed{ \boxed{ \text{Our \: final \: answer :  \boxed{ \underline{  \tt{2x + 3}}}}}}}

Hope I helped ! ♡

Have a wonderful day / night ! ツ

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4 0
2 years ago
Read 2 more answers
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