

Hãy luôn nhớ cảm ơn và vote 5*
nếu câu trả lời hữu ích nhé!
`4)` $x(2x^2 - 3) - x^2(5x + 1) + x^2$
$= (x \cdot 2x^2 - x \cdot 3) - (x^2 \cdot 5x + x^2 \cdot 1) + x^2$
$= 2x^3 - 3x - 5x^3 - x^2 + x^2$
$= (2x^3 - 5x^3) + (-x^2 + x^2) - 3x$
$= -3x^3 - 3x$
`5)` $x^3 - 5x^4 - x^2(x^2 + x - 5)$
$= x^3 - 5x^4 - (x^2 \cdot x^2 + x^2 \cdot x - x^2 \cdot 5)$
$= x^3 - 5x^4 - x^4 - x^3 + 5x^2$
$= (-5x^4 - x^4) + (x^3 - x^3) + 5x^2$
$= -6x^4 + 5x^2$
`6)` $2x^3 - x^2 - x(2x^2 - x + 3)$
$= 2x^3 - x^2 - (x \cdot 2x^2 - x \cdot x + x \cdot 3)$
$= 2x^3 - x^2 - 2x^3 + x^2 - 3x$
$= (2x^3 - 2x^3) + (-x^2 + x^2) - 3x$
$= -3x$
`7)` $-nx^3 + 12x - 4x(x^2 + x - 5)$
$= -nx^3 + 12x - (4x \cdot x^2 + 4x \cdot x - 4x \cdot 5)$
$= -nx^3 + 12x - (4x^3 + 4x^2 - 20x)$
$= -nx^3 + 12x - 4x^3 - 4x^2 + 20x$
$= (-nx^3 - 4x^3) - 4x^2 + (12x + 20x)$
$= (-n - 4)x^3 - 4x^2 + 32x$
`8)` $5x^3 - 5x^4 - 5x^2(x^2 - 2x + 1)$
$= 5x^3 - 5x^4 - (5x^2 \cdot x^2 - 5x^2 \cdot 2x + 5x^2 \cdot 1)$
$= 5x^3 - 5x^4 - 5x^4 + 10x^3 - 5x^2$
$= (-5x^4 - 5x^4) + (5x^3 + 10x^3) - 5x^2$
$= -10x^4 + 15x^3 - 5x^2$
Hãy giúp mọi người biết câu trả lời này thế nào?

Đáp án:
`4) x(2x^2 - 3) - x^2(5x + 1) + x^2`
`= (x·2x^2 - x·3) - (x^2·5x + x^2·1) + x^2`
`= 2x^3 - 3x - 5x^3 - x^2 + x^2`
`= (2x^3 - 5x^3) + (-x^2 + x^2) - 3x`
`= -3x^3 - 3x`
`5) x^3 - 5x^4 - x^2(x^2 + x - 5)`
`= x^3 - 5x^4 - (x^2·x^2 + x^2·x - x^2·5)`
`= x^3 - 5x^4 - x^4 - x^3 + 5x^2`
`= (-5x^4 - x^4) + (x^3 - x^3) + 5x^2`
`= -6x^4 + 5x^2`
`6) 2x^3 - x^2 - x(2x^2 - x + 3)`
`= 2x^3 - x^2 - (x·2x^2 - x·x + x·3)`
`= 2x^3 - x^2 - 2x^3 + x^2 - 3x`
`= (2x^3 - 2x^3) + (-x^2 + x^2) - 3x`
`= -3x`
``8) 5x^3 - 5x^4 - 5x^2(x^2 - 2x + 1)`
`= 5x^3 - 5x^4 - (5x^2·x^2 - 5x^2·2x + 5x^2·1)`
`= 5x^3 - 5x^4 - 5x^4 + 10x^3 - 5x^2`
`= (-5x^4 - 5x^4) + (5x^3 + 10x^3) - 5x^2`
`= -10x^4 + 15x^3 - 5x^2`7) -n x^3 + 12x - 4x(x^2 + x - 5)`
`= -n x^3 + 12x - (4x·x^2 + 4x·x - 4x·5)`
`= -n x^3 + 12x - 4x^3 - 4x^2 + 20x`
`= (-n x^3 - 4x^3) - 4x^2 + (12x + 20x)`
`= (-n - 4)x^3 - 4x^2 + 32x`
${\color{#B5B5B5}t}{\color{#BCBCBC}h}{\color{#C3C3C3}e}{\color{#CACACA}h} {\color{#D1D1D1}u}{\color{#D8D8D8}n}{\color{#DFDFDF}g}{\color{#E5E5E5}h} {\color{#EBEBEB}o}{\color{#F0F0F0}a}{\color{#F5F5F5}n}{\color{#FAFAFA}g}$
Hãy giúp mọi người biết câu trả lời này thế nào?
Bảng tin