All categories

2 years ago

In the following exercises, multiply the binomials. Use any method. 255. (a + b)(2a + 3b)

Mathematics

1 answer:

Alex_Xolod [135]2 years ago

7 0

Answer:

Hence the expression $(a+b)(2a+3b)=2a^2+5ab+3b^2$

Step-by-step explanation:

Explanation

The given expression is (a + b)(2a+3 b).
We have to multiply the given expression.
Multiply the (a + b) by 3b, multiply the (a + b) by 2a then add like terms.

$\begin{matrix}{} & {} & {} & {} & a & + & b \\ \times & {} & {} & {} & 2a & + & 3b \\ \end{matrix}$

___________________

$\begin{matrix}{} & {} & {} & {} & 3ab & + & 3{{b}^2} \\ {} & {} & 2{{a}^2} & + & 2ab & {} & {} \\ \end{matrix}$

___________________

$\begin{matrix}{} & {} & 2{{a}^2} & + & 5ab & + & 3{{b}^2} \\ \end{matrix}$

You might be interested in

could someone out there perhaps help me? i’m so lost even though it’s probably so simple. i’ll give you brainleist :)

Temka [501]

Answer:

y= -x+7, b= sqrt(2P/a), c=3P^2-b

Step-by-step explanation:

First, make a table regarding both of the equations. You will eventually find out that both lines intersect at the point (2, 5) after you find the points on the table. From there, subtract x from both sides in the equation x + y = 2. You will get y = -x + 2. Since they said the line was parallel, find a line that has the slope of negative one. Since we know that this line intersects the point in which the first two lines intersect, we know that the y-intercept will be 7. The equation of the line would be y=-x+7.

Multiply both sides by 2. Then, divide both sides by a to get b^2=(2P/a). Take the square root to get the value of b, which is sqrt(2P/a).

Square both sides of the equation to get P^2=(b+c)/3. Cross multiply to get 3P^2=b+c. Subtract b from both sides to get c=3P^2-b.

8 0

3 years ago

19) Write 987% in decimal form

RideAnS [48]

9.87 because when converting from a percent to decimal, you always move the decimal back 2 spaces.

8 0

3 years ago

Read 2 more answers

Which statement does not use probability correctly to describe an event?

DerKrebs [107]

the answer is D because explosives dont know were to how to 11 D 7 but 2 do 57 people dont know were to do your welcome

6 0

3 years ago

Two pages that face each other in a book have 421 as the sum of their page numbers. What is the number of the page that comes fi

nordsb [41]

Answer:the pages will come on the first is 210

Explanation:

Since we have given that two pages that face each other in a book

i.e. they must be consecutive to each other

so, let the first page number be x

and the second page number be x+1

According to question,

$x+x+1=421\\2x+1=421$

2x=421 -1

2x=420

$x=\frac{420}{2}\\=210$

So, the pages will come on the first is 210

4 0

3 years ago

8) The height of a building h varies directly as the length and inversely as the width, if h = 25m when l = 10m and w = 5m, find

shtirl [24]

Let h,l, and w represent the height, length, and width of the building respectively

Then

$\begin{gathered} h\text{ = }\frac{kl}{w} \\ \text{where k is the constant of proportionality} \end{gathered}$ $\begin{gathered} \Rightarrow k=\frac{hw}{l} \\ \Rightarrow k=\frac{25\times5}{10}=12.5 \end{gathered}$ $\Rightarrow h=\frac{12.5l}{w}$

The new value of h = 50m, but l remains the same.

That is l = 10m

Therefore

$\begin{gathered} \frac{50}{1}=\frac{12.5\times10}{w} \\ \Rightarrow\frac{50}{1}=\frac{125}{w} \\ \text{Cross multiplying, we have} \\ 50w\text{ = 125} \\ \Rightarrow\text{ w=}\frac{125}{50}=2.5 \end{gathered}$

Hence, the width is 2.5m

8 0

1 year ago