<img src="https://tex.z-dn.net/?f=2a%20%7B%20%7D%5E%7B2%7D%20b%20%7B%7D%5E%7B2%7D%20-%207ab%20-%2030" id="TexFormula1" title="2a

Bingel [31]

3 years ago

{ }^{2} b {}^{2} - 7ab - 30" alt="2a { }^{2} b {}^{2} - 7ab - 30" align="absmiddle" class="latex-formula">

Mathematics

1 answer:

yarga [219]3 years ago

5 0

Answer:

(ab - 6)(2ab + 5)

Step-by-step explanation:

Assuming you require the expression factorised.

2a²b² - 7ab - 30

Consider the factors of the product of the coefficient of the a²b² term and the constant term which sum to give the coefficient of the ab- term

product = 2 × - 30 = - 60 and sum = - 7

The factors are - 12 and + 5

Use these factors to split the ab- term

= 2a²b² - 12ab + 5ab - 30 ( factor the first/second and third/fourth terms )

= 2ab(ab - 6) + 5(ab - 6) ← factor out (ab - 6) from each term

= (ab - 6)(2ab + 5) ← in factored form

You might be interested in

Kim S age is twice that of her sister when you add Kim's age to her sisters age of 36 how old is each sister right in equation t

Damm [24]

equation (s+k=36)
s=18
k=18

6 0

3 years ago

According to the Triangle Inequality, the length of the longest side of a triangle must be less than the sum of the length of th

Tresset [83]

x has to equal 1. 3/10 + 1/5 = 1/2

the equation is now 1/2 + x = 1 1/2x

x = 1

1 1/2 = 1 1/2

4 0

3 years ago

Darryl has $5 left in his pocket. He spent $16 on a book, $20 on a compact disc, and $2 on a magazine. How much money did he hav

Vlad1618 [11]

He started with 43$ dollars

8 0

3 years ago

Read 2 more answers

Consider the set {4, 5, 7, 7, 8, 8, 12, 13, 13, 15, 18, 20, 22, 24, 26, 27, 27, 37, 43}. What would be an appropriate interval t

adelina 88 [10]

Proper interval would be 5

8 0

3 years ago

The statements below can be used to prove that the triangles are similar. ? △ABC ~ △XYZ by the SSS similarity theorem. Which mat

Vsevolod [243]

Solution:

It is given that two triangles Δ ABC and Δ X Y Z are similar by Side -Side - Side(SSS) Similarity theorem.

So, the Statement which is given, that is →→∠B ≅ ∠Y and ∠B ≅ ∠Z, is inadequate for similarity criterion by SSS, as these statement are about angles of Triangles,not sides, which can't be true.

So, if the two triangles are Similar by SSS criterion , then the appropriate mathematical statement must be,

⇒ $\frac{AB}{XY}=\frac{BC}{ZY}=\frac{AC}{XZ}$

8 0

3 years ago

Read 2 more answers