Đáp án:
1) a) `=x^2y^4−xy^4`
b) `=x^5y^4−x^7y^3`
2)
a) `-32`
b) `-468`
c) `100`
Giải thích các bước giải:
1)
a) `xy(x^5−y^3)−x^2xxy(x^4−y^3)`
`=x^6y−xy^4−x^6y+x^2y^4`
`=x^2y^4−xy^4.`
b) `x^3y^4xx(x^2−y^3)−x^3y^3xx(x^4−y^4)`
`=x^5y^4−x^3y^7−x^7y^3+x^3y^7`
`=x^5y^4−x^7y^3.`
2)
a) `A=x^3(x^2−y^3)−y^3(y^3−x^3)`
`=x^5−x^3y^3−y^6+x^3y^3`
`=x^5−y^6`
`=2^5−(−2)^6`
`=32−64`
`=−32.`
b) `B=(−x^2y)(x^2y^2−2x)+xy^3(x^3−xy^3)`
`=−x^4y^3+2x^3y+x^4y^3−x^2y^6`3)`
`=−x^4y^3+2x^3y+x^4y^3−x^2y^6`
`=2x^3y−x^2y^6`
`=2xx3^3xx2−3^2xx2^6`
`=108−576`
`=−468.`
c) ` A=x^5−70x^4−70x^3−70x^2−70x+29`
`=x^5−(x−1)x^4−(x−1)x^3−(x−1)x^2−(x−1)x+29`
`=x^5−x^5+x^4−x^4+x^3−x^3+x^2−x^2+x+29`
`=x+29`
`71+29`
`=100.`