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Find the product: (0. 9 x+0. 7 y)(0. 8...

Find the product: `(0. 9 x+0. 7 y)(0. 81 x^2-0. 63 x y+0.49 y^2)`

Text Solution

Verified by Experts

Given
`(0. 9 x+0. 7 y)(0. 81 x^2-0. 63 x y+0.49 y^2)`
Using Identity
`(a+b)(a^2 +b^2-ab)=(a^3+b^3`
`=(0. 9 x+0. 7 y)((0. 9 x)^2+ (0. 9 x)(0. 7 y)+(0. 7 y)^2)`
`(0. 9 x)^3 + (0. 7 y)^3`
`=0.793x^3 + 0.343y^3`
Hence the answer is
`=0.793x^3 + 0.343y^3`
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