Complete the factored form.<br> 7x² +37x + 10 = (7x + 2)()

Expand and simplify

Blababa [14]

<h2>Question:</h2>

→To simple the given equations

( 2x + 1 ) + 5x
( x + 3 ) ( x + 4 )
( x + y ) ²
( 2x + 1 ) ( x - 3 )

<h2 /><h2>Answer:</h2>

$\green{step \: 1}$

→ $3 ( 2x + 1 ) + 5x$

$\green{step \: 2}$

→ $6x + 3 + 5x$

$\green{step \: 3}$

→ $\blue{11x + 3✓}$

$\green{step \: 1}$

→ $( x + 3 ) ( x + 4 )$

$\green{step \: 2}$

→ ${x}^{2} + 4x + 3x + 12$

$\green{step \: 3}$

→ $\blue{ {x}^{2} + 7x + 12✓}$

$\green{step \: 1}$

→ $( x + y ) ^2$

$\green{step \: 2}$

→ $\blue{{x}^{2} + {y}^{2} + 2xy✓}$

$\green{step \: 1}$

→ $( 2x + 1 ) ( x - 3 )$

$\green{step \: 2}$

→ $2 {x}^{2} - 6x + x - 3$

$\green{step \: 3}$

→ $\blue{2 {x}^{2} - 5x - 3✓}$

<u>★</u><u>What do you mean by simplifying an equation:</u>

Simplifying an evaluation means to solve any difficult or easy equation in as simple form as possible .

<u>★</u><u>Steps we can do to simplify the equation:</u>

Open brackets/parentheses to make the equation more simplified.

Add /subtract numbers or numbers with same variable/constant.

thankyou ❤️

3 0

3 years ago

Katelyn had 2 dogs and 3 cats. Which of the following shows the ratio written correctly for the number of dogs to cats?

Rudik [331]

Answer:

2:3

Step-by-step explanation:

Ratio is indicated by :

Its dogs to cats, right so ratio is number of dogs:number of cats which is 2:3

Hope this helps plz mark brainliest if correct :D

8 0

3 years ago

Read 2 more answers

Rosa has 3 3/4 pounds of dough. She uses 3/4 of a pound for one medium loaf of bread. How many medium loaves of bread could be m

den301095 [7]

5 medium loaves of bread can be made from Roza's bread.

5 0

4 years ago

HURRY ILL MARK YOU THE BRAINLEST

Veseljchak [2.6K]

Answer:

C

Step-by-step explanation:

There is no way of telling what the means are.

4 0

3 years ago

Please help me!!! Geometry question.

tigry1 [53]

Answer:

The volume of the figure is $(\frac{l^{3}}{3})[\frac{\pi }{2}-1]\ units^{3}$

Step-by-step explanation:

we know that

The volume of the figure is equal to the volume of the cone minus the volume of the square pyramid

step 1

Find the volume of the cone

The volume of the cone is equal to

$V=\frac{1}{3}\pi r^{2}h$

we have

$r=\frac{l\sqrt{2}}{2}\ units$ ----> the diagonal of the square base of pyramid is equal to the diameter of the cone

$h=l\ units$

substitute

$V=\frac{1}{3}\pi (\frac{l\sqrt{2}}{2})^{2}(l)$

$V=\frac{1}{6}\pi (l)^{3}\ units^{3}$

step 2

Find the volume of the square pyramid

The volume of the pyramid is equal to

$V=\frac{1}{3}Bh$

where

B is the area of the base

h is the height of the pyramid

we have

$h=l\ units$

$B=l^{2}\ units^{2}$

substitute

$V=\frac{1}{3}l^{2}(l)$

$V=\frac{1}{3}l^{3}\ units^{3}$

step 3

Find the volume of the figure

$\frac{1}{6}\pi (l)^{3}\ units^{3}-\frac{1}{3}l^{3}\ units^{3}=(\frac{l^{3}}{3})[\frac{\pi }{2}-1]\ units^{3}$

5 0

3 years ago

Complete the factored form. 7x² +37x + 10 = (7x + 2)()