Lynncuibillasidn
Answered

IDNStudy.com, ang iyong pangunahing mapagkukunan para sa mga sagot ng eksperto. Sumali sa aming platform ng tanong at sagot upang makakuha ng eksaktong tugon sa lahat ng iyong mahahalagang tanong.

27b³-1=(3b-___) (____+3b+1)​

Sagot :

Hurgfsidn

Answer:

1 for the first blank and

[tex]9b^2[/tex] for the second blank.

Step-by-step explanation:

By observation 27b³-1 is a perfect cube

27b³ = (3b)³

1 = 1³

Operation used is " - "

Therefore the problem is all about the difference of perfect cubes

Where:

[tex]a^3 - b^3 = (a - b)(a^2 + ab + b^2)[/tex]

Solving:

a = 3b

b = 1

Substituting the value of a and b

[tex]27b^3 - 1^3 = (3b - 1)((3b)^2 + 3b(1) + 1^2) \\27b^3 - 1^3 = (3b - 1)(9b^2 + 3b + 1^2)[/tex]

Therefore the answer is

1 for the first blank and

[tex]9b^2[/tex] for the second blank.

#CarryOnLearning