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Freiderich
@Freiderich
July 2022
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Упростите выражения, пожалуйста помогите!
1)2/m-4 - 5m-4/m^2-16
2)3m+n/9m^2-3mn - 4n/9m^2-n^2
3)6x^2-15x+25/4x^2-25 + x/5-2x
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sedinalana
2/(m-4) -(5m-4)/(m-4)(m+4)=(2m+8-5m+4)/(m-4)(m+4)=
=(-3m+12)/(m-4)(m+4)=-3(m-4)/(m-4)(m+4)=-3/(m+4)
2)(3m+n)/3m(3m-n) -4n/(3m-n)(3m+n)=
=(9m²+6mn+n²-12mn)/3m(3m-n)(3m+n)=
(9m²-6mn+n²)/3m(3m-n)(3m+n)=
=(3m-n)²/3m(3m-n)(3m+n)=(3m-n)/3m(3m+n)
3)(6x²-15x+25)/(2x-5)(2x+5) -x/(2x-5)=
=(6x²-15x+25-2x²-5x)/(2x-5)(2x+5)=
=(4x²-20x+25)/(2x-5)(2x+5)=(2x-5)²/(2x-5)(2x+5)=(2x-5)/(2x+5)
3 votes
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Freiderich
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Answers & Comments
=(-3m+12)/(m-4)(m+4)=-3(m-4)/(m-4)(m+4)=-3/(m+4)
2)(3m+n)/3m(3m-n) -4n/(3m-n)(3m+n)=
=(9m²+6mn+n²-12mn)/3m(3m-n)(3m+n)=
(9m²-6mn+n²)/3m(3m-n)(3m+n)=
=(3m-n)²/3m(3m-n)(3m+n)=(3m-n)/3m(3m+n)
3)(6x²-15x+25)/(2x-5)(2x+5) -x/(2x-5)=
=(6x²-15x+25-2x²-5x)/(2x-5)(2x+5)=
=(4x²-20x+25)/(2x-5)(2x+5)=(2x-5)²/(2x-5)(2x+5)=(2x-5)/(2x+5)