Question

(6x²+⅖)(6x²-⅖) please help me it's very urgent​ anybody please answer me I mark as brilliant as promised and he/She are intelligent in world​

Answer 1

CHECK OUT THE SOLUTION

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Answer 2

Step-by-step explanation:

Given :-

(6x²+⅖)(6x²-⅖)

To find :-

Simplify the given expression ?

Solution :-

Method -1:-

Given expression is (6x²+⅖)(6x²-⅖)

This is in the form of (a+b)(a-b)

Where , a = 6x² and b = 2/5

We know that

(a+b)(a-b) = a²-b²

(6x²+⅖)(6x²-⅖)

=> (6x²)² - (2/5)²

=> (6x²×6x²) -(2/5)×(2/5)

=> 36x⁴ - (4/25)

or 2/5 is also one of the exponents then

(6x²+⅖)(6x²-⅖)

=>[ 6x^(2+2/5)][6x^(2-2/5)]

=> [6x^(10+2)/5)][6x^(10-2)/5)]

=> [6x^12/5][6x^8/5]

=> (6x)^[(12/5)+(8/5)]

Since a^m × a^n = a^(m+n)

=> (6x)^(20/5)

=> (6x)⁴

=>6^4 x⁴

=> 1256 x⁴

Answer :-

If (6x²+2/5)(6x²-2/5) is given then answer is 36x⁴-(4/25)

If (6x²+⅖)(6x²-⅖) is given 2 and 2/5 are the exponents of 6x ) then answer is 1256x⁴

Used formulae:-

• (a+b)(a-b) = a²-b²

• a^m × a^n = a^(m+n)

• (ab)^m = a^m × b^m