Thực hiện phép tính: a, (5x-2y)(x^2-xy+1) b, (x-1)(x+1)(x+2) c, (12x^2y^2(2x+y)(2x-y) d, (x^2+2xy+y^2)(x-y) f, x^2(5x^3-x-6) g, (x^2-2xy+y^2)(x+y) thank đúng vote 5*

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Đáp án:

a) `5x^3-7x²y+5x+2xy^2-2y`

b) `x^3+2x^2-x-2`

c) `4x^4y^2-12x^2y^4`

d) `(x+y)^2(x-y)`

f) `5x^5-x^3-6x^2`

g) `(x-y)^2(x+y)`

Giải thích các bước giải:

a) `(5x-2y)(x^2-xy+1)`

= `5x^3-5x^2y+5x-2x^2y+2xy^2-2y`

= `5x^3-7x²y+5x+2xy^2-2y`

b) `(x-1)(x+1)(x+2)`

= `(x^2-1)(x+2)`

= `x^2(x+2)-1(x+2)`

= `x^3+2x^2-x-2`

c) `12x^2y^2(2x + y)(2x - y)`

= `12x^2y^2(4x^2-y^2)`

= `4x^4y^2-12x^2y^4`

d) `(x^2+2xy+y^2)(x-y)`

= `(x+y)^2(x-y)`

f) `x^2(5x^3-x-6)`

= `5x^5-x^3-6x^2`

g) `(x^2-2xy+y^2)(x+y)`

= `(x-y)^2(x+y)`