Question

expand (y+1/y) ^2+(m-1/m)^2

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CLASS 9th lesson algebra expansion ​

Answer 1

Step-by-step explanation:

(y+1/y)²+(m-1/m)²

=> [ y²+ (1/y)² +2×y×1/y] + [m²+(1/m)² -2×m×1/m]

=> (y²+1/y²+2)+(m²+1/m²-2)

Answer 2

Answer:

y^2+m^2+1/m^2+1/y^2

Step-by-step explanation:

w.k.t (a+b)^2=a^2+b^2+2ab

So (y^2+1/y^2)=y^2+1/y^2+2.y.1/y

=y^2+1/y^2+2---[eqn1]

Similarily (m-1/m)^2=m^2+1/m^2-2-----[eqn2]

On adding eqn1 and eqn2 we get

y^2+1/y^2+2+m^2+1/m^2-2

=y^2+1/y^2+m^2+1/m^2