Question

Solve (x/2+y/3)^3 + (x/2-y/3)^3 . It is of chapter polynomials

Answer 1

Answer:

(x/2+y/2){(x^2/4)+(y^2/9)-xy/6}

Step-by-step explanation:

1. x/2+y/3 ...................take this whole as "a"
2. x/2-x/3.....,................take this whole as "b"

if u look at the given question

(x/2+y/3)^3.............is our a raised to power 3 or a^3

(x/2-y/3)^3..............is our b raised to power 3 or b^3

now we know the formula

a^3+b^3=(a+b)(a^2+b^2-ab)...

so u can see this in the form of above identity

so calculate:

(x/2+y/2)[X/2^2+y/3^2-x/2.y/2]

we wrote the above step in form of a^3+b^3 identity

if you do the process ..u will get

(x/2+y/2){(x^2/4)+(y^2/9)-xy/6}

hope this answer ....helps you

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