1.Thu gọn
a) 3x ( 4x – 3 ) – 2x ( 6x + 5 )
b) 4x ( 3x^2 –x ) – 2x ( 6x^2 – 3x + 1 )
c) 2x ( x^2 – 3 ) – 3( 4x^2 – 2x + 1 )
1.Thu gọn
a) 3x ( 4x – 3 ) – 2x ( 6x + 5 )
b) 4x ( 3x^2 –x ) – 2x ( 6x^2 – 3x + 1 )
c) 2x ( x^2 – 3 ) – 3( 4x^2 – 2x + 1 )
Đáp án:
Giải thích các bước giải:
`a) 3x ( 4x – 3 ) – 2x ( 6x + 5 )`
`=x[3(4x-3)-2(6x+5)]`
`=x(12x-9-12x-10)`
`=-19x`
`b) 4x ( 3x^2 –x ) – 2x ( 6x^2 – 3x + 1 )`
`=2x[2( 3x^2 –x ) – ( 6x^2 – 3x + 1 )]`
`=2x(6x^2-2x-6x^2+3x-1)`
`=2x.(x-1)`
`c) 2x ( x^2 – 3 ) – 3( 4x^2 – 2x + 1 )`
`=2x^3-6x-12x^2+6x-3`
`=2x^3-12x^2-3`
a) 3x ( 4x – 3 ) – 2x ( 6x + 5 )
⇒ 12x^2 – 9x – 12^2 – 10x
⇒ -19x
b) 4x ( 3x^2 –x ) – 2x ( 6x^2 – 3x + 1 )
⇒ 12x^3 – 4x^2 – 12x^3 + 6x^2 – 2x
⇒ 2x^2 – 2x
c) 2x ( x^2 – 3 ) – 3( 4x^2 – 2x + 1 )
⇒ 2x^3 – 6x – 12x^2 + 6x – 3
⇒ 2x^3 – 12x^2 – 3
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