1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Alenkinab [10]
3 years ago
12

. Factorize a² +3ab - 5ab - 15b²

Mathematics
1 answer:
kipiarov [429]3 years ago
4 0

Answer:

a² +3ab - 5ab - 15b² = (a+3b) (a-5b)

Step-by-step explanation:

We need to factorize a² +3ab - 5ab - 15b². Firstly we need to rearrange the expression such that,

a^2-5ab+3ab-15b^2=(a^2-5ab)+(3ab-15b^2)

Now taking a common from the first two terms and 3b from last two terms, then :

(a^2-5ab)+(3ab-15b^2)=a(a-5b)+3b(a-5b)

In the above expression, a factor (a-5b) is in both the terms. It would mean that,

a(a-5b)+3b(a-5b)=(a+3b)(a-5b)

So, the factors of a² +3ab - 5ab - 15b² are (a+3b) (a-5b).

You might be interested in
2) 4 6 2 3 If L= | 5 8 and M= 1 4 3 -2 -5 3 3 Find L-M -)) 2 4 8 A ) 3 4 5 2 3 B) 4 4 8 -5 6 9 o 6 12 -2 1 6 6 2 D) 9 12 1​
Misha Larkins [42]

\\ \sf\longmapsto L-M

  • Put values

\sf \left[\begin{array}{cc}\sf 4&\sf 6\\ \sf 5 &\sf 8 \\ \sf 3 &\sf -2\end{array}\right]-\left[\begin{array}{cc}\sf 2&\sf 3\\ \sf 1 &\sf 4 \\ \sf -5&\sf3\end{array}\right]

Just substract corresponding terms

\\ \sf\longmapsto \left[\begin{array}{cc}\sf 2 &\sf 3\\ \sf 4&\sf4\\ \sf 8&\sf -5\end{array}\right]

Option B

6 0
3 years ago
I NEED HELP ASAP WITH A LOT OF QUESTION!!!!
frozen [14]

Answer:

?

Step-by-step explanation:

8 0
3 years ago
On a map, the distance between two historical markers is 4.5 inches, and 2.5 inches represents 10 miles.
Morgarella [4.7K]

Answer:

The actual distance between the historical markers is 18 miles.

Step-by-step explanation:

Given : On a map, the distance between two historical markers is 4.5 inches, and 2.5 inches represents 10 miles.  

To find : What is the actual distance between the historical markers?

Solution :

We have given that,

2.5 inches represents 10 miles.

i.e, 1 inch represent \frac{10}{2.5} miles.

1 inch = 4 miles.

Now, The distance between two historical markers is 4.5 inches.

The actual distance between the historical markers in 4.5 inch is

4.5 \text{ inch}=4.5\times 4\text{ miles}

4.5 \text{ inch}=18\text{ miles}

Therefore, The actual distance between the historical markers is 18 miles.

7 0
3 years ago
Read 2 more answers
Quadrilateral ABCD is plotted with coordinates A(3,7), B(6,1), C(-6,-8) and D(-5,1). Using coordinate geometry, prove that ABCD
tiny-mole [99]

Answer:

Step-by-step explanation:

4 0
2 years ago
Determine whether the triangles are congruent by sss sas asa aas or hl
VladimirAG [237]

Answer:

the answer is they are congruent

4 0
3 years ago
Other questions:
  • Hands of a clock suggest an angle whose measure is continually changing. How many degrees does a minute hand move through during
    11·1 answer
  • Is the number 3 a rational number?
    10·2 answers
  • The local newspaper has letters to the editor from
    11·1 answer
  • The sale price of a drum kit in the UK is 950 Pounds + VAT (Value Added Tax), where VAT is a sales tax of 20%. After some negoti
    14·1 answer
  • Is fge and egc supplementary angles
    10·1 answer
  • 90,100,120,120,140 calculate the median distance
    5·1 answer
  • What is the slope in the following equation:
    10·1 answer
  • SCREENSHOT BELOW <br> PLEASE HELP ME
    8·2 answers
  • Problem Solving World
    7·1 answer
  • one number is 4 times a first number. a third number is 100 more thann the first number. if the sum of the three numbers is 562,
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!