Simplify : (5a+3b)³ + (5a-3b)³
Answers
Answered by
4
Given Equation is (5a + 3b)^3 + (5a - 3b)^3.
We know that (a+b)^3 = a^3+b^3+3a^2b+3ab^2.
We know that (a-b)^3 = a^3 - b^3 - 3a^2b + 3ab^2.
= > (5a)^3 + (3b)^3 + 3(5a)^2 3b + 3 5a(3b)^2 + (5a)^3 - 3(5a)^2 * 3b + 3*5a(3b)^2 - 3b^3
= > 125a^3 + 27b^3 + 225a^2b + 135ab^2 + 125a^3 - 225a^2b + 135ab^2 - 27b^3
= > 250a^3 + 270ab^2 + 27b^3 - 27b^3
= > 250a^3 + 270ab^2.
Hope this helps!
We know that (a+b)^3 = a^3+b^3+3a^2b+3ab^2.
We know that (a-b)^3 = a^3 - b^3 - 3a^2b + 3ab^2.
= > (5a)^3 + (3b)^3 + 3(5a)^2 3b + 3 5a(3b)^2 + (5a)^3 - 3(5a)^2 * 3b + 3*5a(3b)^2 - 3b^3
= > 125a^3 + 27b^3 + 225a^2b + 135ab^2 + 125a^3 - 225a^2b + 135ab^2 - 27b^3
= > 250a^3 + 270ab^2 + 27b^3 - 27b^3
= > 250a^3 + 270ab^2.
Hope this helps!
siddhartharao77:
Thanks for the upvote buddy!
Thankuuuu So much....for this.....answer....
My Pleasure
this is a long way to do
mine is very ahort way
short
Answered by
1
Yello !
Your answer is in the pic
It is a shortcut method, which if you understand it, you will master it.
I think, you should tilt my picture and see.
The answer = (10a)(25a²+27b²)
Hope you find my answer useful and hope you mark my answer as brainliest !
Your answer is in the pic
It is a shortcut method, which if you understand it, you will master it.
I think, you should tilt my picture and see.
The answer = (10a)(25a²+27b²)
Hope you find my answer useful and hope you mark my answer as brainliest !
Attachments:
This is a shortcut method
You are very intelligent.
thanks
Similar questions