Question

The value of (0.137+0.098)^2 - (0.137-0.098)2 / 0.137×0.098

Answer 1

Concept:

Algebraic identities are algebraic equations that are true regardless of the value of each variable. Additionally, they are employed in the factorization of polynomials. Algebraic identities are employed in this manner for the computation of algebraic expressions and the solution of various polynomials.

(a+b)²=a²+b²+2ab

(a+b)²=a²+b²+2ab

(a+b)²  -(a-b)²=4ab

(a+b)² +(a-b)²=2(a²+b²)

Given:

(0.137+0.098)² - (0.137-0.098)² / 0.137×0.098

Find:

The value of (0.137+0.098)² - (0.137-0.098)² / 0.137×0.098

Solution:

(0.137+0.098)² - (0.137-0.098)² / 0.137×0.098

Since,(a+b)²  -(a-b)²=4ab

=(4 X 0.137 X 0.098 )/ (0.137 X 0.098)

=4

Therefore the answer is 4

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