All categories

1 year ago

Simplify the expression (4a^2 +2ab) - (2a^2 -ab + b^2) what is the coefficient of the term b^2

Mathematics

1 answer:

iragen [17]1 year ago

7 0

In the simplified expression, the coefficient of the term b² is -1.

<h3>Order to solve Math Operations</h3>

When you solve any Math Operations, it is necessary to be attentive to the order of the operations.

First, you should solve the operation insides of Parentheses. After that priority is given to Exponents. Thereon, you can solve multiplication or division operations from left to right. Finally, addition or subtraction from left to right

See the order below

Parentheses
Exponents
Multiplication or Division from left to right
Addition or Subtraction from left to right

The question gives the expression (4a² +2ab) - (2a² -ab + b²). Therefore, for solving the expression you should follow the order of the math operations.

Remove the Parentheses

4a² +2ab -2a² +ab - b²

Add similar terms

2a²+3ab-b²

Like, there are no more similar terms. Therefore, you can represent the expression (4a² +2ab) - (2a² -ab + b²) by the expression 2a²+3ab-b².

Learn more about the algebraic expression here:

brainly.com/question/2164351

#SPJ1

You might be interested in

Can someone help me??

xeze [42]

B because plants are often identical to or a clone of their parent and one parent is involved.

7 0

3 years ago

Read 2 more answers

Here is a triangular pyramid and its net.

galben [10]

Answer:

a) Area of the base of the pyramid = $15.6\ mm^{2}$

b) Area of one lateral face = $24\ mm^{2}$

c) Lateral Surface Area = $72\ mm^{2}$

d) Total Surface Area = $87.6\ mm^{2}$

Step-by-step explanation:

We are given the following dimensions of the triangular pyramid:

Side of triangular base = 6mm

Height of triangular base = 5.2mm

Base of lateral face (triangular) = 6mm

Height of lateral face (triangular) = 8mm

a) To find Area of base of pyramid:

We know that it is a triangular pyramid and the base is a equilateral triangle. $\text{Area of triangle = } \dfrac{1}{2} \times \text{Base} \times \text{Height} ..... (1)\\$

${\Rightarrow \text{Area of pyramid's base = }\dfrac{1}{2} \times 6 \times 5.2\\\Rightarrow 15.6\ mm^{2}$

b) To find area of one lateral surface:

Base = 6mm

Height = 8mm

Using equation (1) to find the area:

$\Rightarrow \dfrac{1}{2} \times 8 \times 6\\\Rightarrow 24\ mm^{2}$

c) To find the lateral surface area:

We know that there are 3 lateral surfaces with equal height and equal base.

Hence, their areas will also be same. So,

$\text{Lateral Surface Area = }3 \times \text{ Area of one lateral surface}\\\Rightarrow 3 \times 24 = 72 mm^{2}$

d) To find total surface area:

Total Surface area of the given triangular pyramid will be equal to <em>Lateral Surface Area + Area of base</em>

$\Rightarrow 72 + 15.6 \\\Rightarrow 87.6\ mm^{2}$

Hence,

a) Area of the base of the pyramid = $15.6\ mm^{2}$

b) Area of one lateral face = $24\ mm^{2}$

c) Lateral Surface Area = $72\ mm^{2}$

d) Total Surface Area = $87.6\ mm^{2}$

8 0

3 years ago

A coin is weighted so that the probability of getting heads is 0.70. If the coin is flipped twice, what is the probability of ge

Naily [24]

If the probability of flipping heads is 0.70, the probability of flipping tails is 0.30.

To find probability, you multiply the probability of each factor together:

P = 0.7 * 0.3

P = 0.21 <em>or</em><em> </em>21%

3 0

3 years ago

Can somebody please please help me I'm desperate!!!!!!

FromTheMoon [43]

You would have to solve this by Lxwxh.

25.4*19.05*76.2= 36870.89 centimeters

1 in= 2.54 centimeters

36870.89 centimeters*1 in/2.54 centimeters= 14516.09843 inches.

I hope this is helpful :)

4 0

3 years ago

Read 2 more answers

You have an equation y=x+7. Is the ordered pair (1,6) a solution? Yes or no?

vaieri [72.5K]

Answer:
no

step-by-step explanation:
y=x+7
x is the slope of 1
7 is the y-intercept
because 7 is the y-intercept and the slope is positive it never touches (1,6)

8 0

3 years ago