Math, asked by agarwaltannu475, 1 month ago

simplify 8x^3-y^3+z^3+6xyz/a^3-8b^3+27c^3+18abc÷4x^2+y^2+z^2+2xy+yz-2xz/a^2+4b^2+9c^2+2ab+6bc-3ac​

Answers

Answered by realanshuu
2

Answer :

8x

3

+y

3

+27z

3

−18xyz

using the formula, a

3

+b

3

+c

3

−3abc=(a+b+c)(a

2

+b

2

+c

2

−ab−bc−ac)

=(2x)

3

+y

3

+(3z)

3

−3×2x×y×3z

=(2x+y+3z)[(2x)

2

+y

2

+(3z)

2

−2x×y−y×3z−3z×2x]

=(2x+y+3z)(4x

2

+y

2

+9z

2

−2xy−3yz−6zx)

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