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WINSTONCH [101]
3 years ago
11

Factorise 3ab²+15a²b³+21a³b²​

Mathematics
1 answer:
evablogger [386]3 years ago
5 0

Given:

The expression is

3ab^2+15a^2b^3+21a^3b^2

To find:

The factor form of the given expression.

Solution:

We have,

3ab^2+15a^2b^3+21a^3b^2

Taking out the common factors, we get

3ab^2(1+5ab+7a^2)

It is clear that (1+5ab+7a^2) cannot be factories further.

Therefore, the factorized form of the given expression is 3ab^2(1+5ab+7a^2).

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Use the distributive property to evaluate each expression <br> 4(8-7), 4(x-6y), 6(5-q), (d+2)(-7)
Whitepunk [10]

Answer:

Rewrite the expression 10(15 – 6) using the distributive property of subtraction.

A) 10(6) – 10(15)

B) 10(9)

C) 10(6 –15)

D) 10(15) – 10(6)

Show/Hide Answer

A) 10(6) – 10(15)

Incorrect. Here a greater number would be subtracted from a lesser number, and the answer would not be a whole number. The correct answer is 10(15) – 10(6).

B) 10(9)

Incorrect. The numbers in parentheses were subtracted before the number 10 could be distributed. The correct answer is 10(15) – 10(6).

C) 10(6 –15)

Incorrect. You probably used the commutative law instead of the distributive property. The correct answer is 10(15) – 10(6).

D) 10(15) – 10(6)

Correct. The 10 is correctly distributed so that it is used to multiply the 15 and the 6 separately.

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
What’s the gcf (greatest common factor) of this expression
love history [14]

Answer:

x

Step-by-step explanation:

just look at them what do they have in common?

5 0
3 years ago
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A local hamburger shop sold a combined total of 436 hamburgers and cheeseburgers on Wednesday. There were 64 fewer cheeseburgers
jasenka [17]
436 hamburgers and cheeseburgers sold Wednesday.
64 fewer cheeseburgers.

436/2= 218
218-64= 154

154 cheeseburgers were sold Wednesday.
7 0
3 years ago
John has a roll containing 24 2/3 feet of wrapping paper he wants to divide it into 11 pieces first though he must cut off five
Simora [160]

take 23 2/3 and subtract 6 to get 53/3 or 17 2/3 or 17.667

then you take 17.667 and divide by 11 to get 1.606


6 0
3 years ago
Find the distance between points A (10,-1) and B (-2,5). Round to the nearest tenth
bija089 [108]

Answer:

<h2>The answer is 13.4 units</h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

d =  \sqrt{ ({x1 - x2})^{2}  +  ({y1 - y2})^{2} }  \\

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

A (10,-1) and B (-2,5)

The distance is

|AB|  =  \sqrt{ ({10 + 2})^{2} +  ({ - 1 - 5})^{2}  }  \\  =  \sqrt{ {12}^{2}  +  ({ - 6})^{2} }  \\  =  \sqrt{144 + 36}  \:  \:  \:  \:  \:  \:  \:   \\  =  \sqrt{180}  \\  = 6 \sqrt{5}  \:  \:  \\  =13.416407

We have the final answer as

<h3>13.4 units to the nearest tenth</h3>

Hope this helps you

7 0
3 years ago
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