Đáp án:
b.(x – 2y)(3xy + 5y^2 + x)
= x.(3xy + 5y^2 + x) + (-2y).(3xy + 5y^2 + x)
= x.3xy + x.5y^2 + x.x + (-2y).3xy + (–2y).5y^2 + (–2y).x
= 3x^2y + 5xy^2 + x^2 – 6xy2 – 10y^3 – 2xy
= 3x^2y + (5xy^2 – 6xy^2) + x^2 – 10y^3 – 2xy
= 3x^2y – xy^2 + x^2 – 10y^3 – 2xy
a.(2x^2 – 3x)(5x^2 – 2x + 1)
= 2x^2(5x^2 – 2x + 1) + (-3x)(5x^2 – 2x + 1)
= 2x^2.5x^2 + 2x^2.(-2x) + 2x^2.1 + (–3x).5x^2 + (-3x).(-2x) + (-3x).1
= (2.5)(x^2.x^2) + [2. (-2)].(x^2.x) + 2x^2 + [(-3).5].(x.x^2) + [(-3).(-2).(x.x) + (-3x)]
= 10x^4 – 4x^3 + 2x^2 – 15x^3 + 6x^2 – 3x
= 10x^4 – (4x^3 + 15x^3) + (2x^2 + 6x^2) – 3x
= 10x^4 – 19x^3 + 8x^2 – 3x