Question

Factorisation:

Find using algebraic formula:-
99813*99815+1 /(99814)^4

Answer 1

Answer:

$\frac{99813*99815+1}{(99814)^2}=1$

Step-by-step explanation:

The given expression is simplified by using suitable

algebraic identity.

Formula used:

$(a+b)(a-b)=a^2-b^2$

Given:

$\frac{99813*99815+1}{(99814)^2}$

$=\frac{(99814-1)*(99814+1)+1}{(99814)^2}$

$=\frac{((99814)^2-1^2)+1}{(99814)^2}$ (using the above identity)

$=\frac{(99814)^2-1+1}{(99814)^2}$

$=\frac{(99814)^2}{(99814)^2}$

$=1$

Answer 2

Step-by-step explanation:

here you go...

a²-b²=(a+b) (a-b) used