All categories

3 years ago

Simplify: –3(y + 2)2 – 5 + 6yWhat is the simplified product in standard form?

Mathematics

1 answer:

sweet-ann [11.9K]3 years ago

6 0

Answer by Mimiwhatsup:

$\mathrm{Multiply\:the\:numbers:}\:3\cdot \:2=6\\=-6\left(y+2\right)-5+6y\\-6\left(y+2\right)\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac\\a=-6,\:b=y,\:c=2\\=-6y+\left(-6\right)\cdot \:2\\Apply\:minus-plus\:rules\\+\left(-a\right)=-a\\=-6y-6\cdot \:2\\\mathrm{Multiply\:the\:numbers:}\:6\cdot \:2=12\\=-6y-12\\=-6y-12-5+6y\\\mathrm{Simplify}\:-6y-12-5+6y\\Group\:like\:terms\\=-6y+6y-12-5\\\mathrm{Add\:similar\:elements:}\:-6y+6y=0\\=-12-5\\$

$\mathrm{Subtract\:the\:numbers:}\:-12-5=-17\\Answer is: =-17$

You might be interested in

write an expression that equals (x-13). It must have at leat two sets of parentheses and one minus sogn.Verify that it is equal

IRISSAK [1]

You can perform all kind of operation that are one the inverse of the other, so that the value won't change. For example, you can multiply and divide by 2:

$\dfrac{1}{2}(2(x-13))$

Or add and subtract 5:

$\left(\dfrac{1}{2}(2(x-13))+5\right)-5$

4 0

3 years ago

100 POINTS PLEAS please help

Kamila [148]

Answer:

$\textsf{A)} \quad 5u^3-2u^2+5u+8$

Step-by-step explanation:

Given expression:

$(-2u^3+5u-1)+(7u^3-2u^2+9)$

Remove parentheses:

$\implies -2u^3+5u-1+7u^3-2u^2+9$

Collect like terms:

$\implies -2u^3+7u^3-2u^2+5u-1+9$

Combine like terms:

$\implies 5u^3-2u^2+5u+8$

6 0

1 year ago

Read 2 more answers

[3] Find the Social Security tax of 6.2% on $36,511.98

puteri [66]

Answer:

2263.74

Step-by-step explanation:

4 0

2 years ago

A graph in which the frequency for each category of a quantitative variable is represented as a vertical column that touches the

Arturiano [62]

Answer:

Histogram.

Step-by-step explanation:

Such a Graph is called Histogram.

A histogram can be defined as a visual representation of data in form of bars of different heights. In histogram, each and every bar groups numbers into ranges. The greater the height of the bar, the larger the data falls into its range. It basically represents shape and spread of continuous data sample.

3 0

3 years ago

Evaluate 3^2 + (6 − 2) ⋅ 4 − 6/3 a. 20 b. 23 c. 50 d. 26

Sergeeva-Olga [200]

I hope this helps you

4 0

3 years ago

Read 2 more answers