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nếu câu trả lời hữu ích nhé!
`a)(1/2-x)^3`
`=(1/2)^3-3*(1/2)^2*x+3*1/2*x^2-x^3`
`=1/8-3/4x+3/2x^2-x^3`
==========
`(2x-1)^3`
`=(2x)^3-3*(2x)^2*1+3*2x*1^2-1^3`
`=8x^3-12x^2+6x-1`
`b)(2x-3y)^3`
`=(2x)^3-3*(2x)^2*3y+3*2x*(3y)^2-(3y)^3`
`=8x^3-36x^2y+54xy^2-27y^3`
===========
`(0,01-xy)^3`
`=(0,01)^3-3*(0,01)^2*xy+3*0,01*(xy)^2-(xy)^3
`=0,000001-0,0003xy+0,03x^2y^2-x^3y^3`
`c)(1/2+x)^3`
`=(1/2)^3+3*(1/2)^2*x+3*1/2*x^2+x^3`
`=1/8+3/4x+3/2x^2+x^3`
==========
`(2x+1)^3`
`=(2x)^3+3*(2x)^2*1+3*2x*1^2+1^3`
`=8x^3+12x^2+6x+1`
`d)(2x+3y)^3`
`=(2x)^3+3*(2x)^2*3y+3*2x*(3y)^2+(3y)^3`
`=8x^3+36x^2y+54xy^2+27y^3`
===========
`(0,01+xy)^3`
`=(0,01)^3+3*(0,01)^2*xy+3*0,01*(xy)^2+(xy)^3
`=0,000001+0,0003xy+0,03x^2y^2+x^3y^3`
`e)(x+1)(x^2-x+1)`
`=x^3+1^3`
`=x^3+1`
`f)(x-2y)(x^2+2xy+4y^2)`
`=x^3-(2y)^3`
`=x^3-8y^3`
`g)(x+y+z)^2`
`=x^2+y^2+z^2+2xy+2yz+2xz`
`(x-y+z)^2`
`=x^2+(-y)^2+z^2+2x*(-y)+2*(-y)*z+2xz`
`=x^2+y^2+z^2-2xy+2yz+2xz`
`h)(x-y-z)^2`
`=x^2+(-y)^2+(-z)^2+2x*(-y)+2x*(-z)+2(-y)(-z)`
`=x^2+y^2+z^2-2xy-2xz+2yz`
Hãy giúp mọi người biết câu trả lời này thế nào?
`a)`
`(1/2-x)^3=(1/2)^3-3·(1/2)^2·x+3·1/2·x^2-x^3=1/8-3/4x+3/2x^2-x^3`
`(2x-1)^3=(2x)^3-3·(2x)^2·1+3·(2x)·1^2-1^3=8x^3-12x^2+6x-1`
`b)`
`(2x-3y)^3=(2x)^3-3·(2x)^2·3y+3·2x·(3y)^2-(3y)^3=8x^3-36x^2y+54xy^2-27y^3`
`(0,01-xy)^3=(0,01)^3-3·(0,01)^2·xy+3·0,01·(xy)^2-(xy)^3=0,000001-0,003xy+0,03x^2y^2-x^3y^3`
`c)`
`(1/2+x)^3=(1/2)^3+3·(1/2)^2·x+3·1/2·x^2+x^3=1/8+3/4x+3/2x^2+x^3`
`(2x+1)^3=(2x)^3+3·(2x)^2·1+3·(2x)·1^2+1^3=8x^3+12x^2+6x+1`
`d)`
`(2x+3y)^3=(2x)^3+3·(2x)^2·3y+3·2x·(3y)^2+(3y)^3=8x^3+36x^2y+54xy^2+27y^3`
`(0,01+xy)^3=(0,01)^3+3·(0,01)^2·xy+3·0,01·(xy)^2+(xy)^3=0,000001+0,003xy+0,03x^2y^2+x^3y^3`
`e)`
`(x+1)(x^2-x+1)=(x+1)(x^2-x·1+1^2)=x^3+1^3=x^3+1`
`g)`
`(x+y+z)^2=[(x+y)+z]^2=(x+y)^2+2(x+y)z+z^2=x^2+2xy+y^2+2xz+2yz+z^2`
`f)`
`(x-2y)(x^2+2xy+4y^2)=(x-2y)[x^2+x·2y+(2y)^2]=x^3-(2y)^3=x^3-8y^3`
`h)`
`(x-y-z)^2=[(x-y)-z]^2=(x-y)^2-2(x-y)z+z^2=x^2-2xy+y^2-2xz+2yz+z^2`
Hãy giúp mọi người biết câu trả lời này thế nào?
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