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Мику13382
@Мику13382
August 2022
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помооооооооогите номер 762
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tatyanazubkova
А) (х+у)²-z²=(x+y-z)(x+y+z)
б) (х-у)²-z²=(x-y-z)(x-y+z)
в) m²-(n+k)²=(m-n-k)(m+n+k)
г) m²-(n-k)²=(m-n+k)(m+n-k)
д) (а+4)²-16=(а+4-4)(а+4+4)=а(а+8)
е) 100-(10-n)²=(10-10+n)(10+10-n)=n(20+n)
ж) (3а+1)²-4=(3а+1-2)(3а+1+2)=(3а-1)(3а+3)
з) 9-(2-5в)²=(3-2+5в)(3+2-5в)=(1+5в)(5-5в)
и) 4х²-(1-3х)²=( 2х-1+3х)( 2х+1-3х)=(5х-1)(1-х)
к)(2m+3)²-9m²=(2m+3-3m)(2m+3+3m)=(3-m)(3+5m)
л) 16а²-(3а-1)²=(4а-3а+1)(4а+3а-1)=(а+1)(7а-1)
м) 25m²-(2x+3m)²=(5m-2x-3m)(5m+2x+3m)=(2m-2x)(8m+2x)
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Answers & Comments
б) (х-у)²-z²=(x-y-z)(x-y+z)
в) m²-(n+k)²=(m-n-k)(m+n+k)
г) m²-(n-k)²=(m-n+k)(m+n-k)
д) (а+4)²-16=(а+4-4)(а+4+4)=а(а+8)
е) 100-(10-n)²=(10-10+n)(10+10-n)=n(20+n)
ж) (3а+1)²-4=(3а+1-2)(3а+1+2)=(3а-1)(3а+3)
з) 9-(2-5в)²=(3-2+5в)(3+2-5в)=(1+5в)(5-5в)
и) 4х²-(1-3х)²=( 2х-1+3х)( 2х+1-3х)=(5х-1)(1-х)
к)(2m+3)²-9m²=(2m+3-3m)(2m+3+3m)=(3-m)(3+5m)
л) 16а²-(3а-1)²=(4а-3а+1)(4а+3а-1)=(а+1)(7а-1)
м) 25m²-(2x+3m)²=(5m-2x-3m)(5m+2x+3m)=(2m-2x)(8m+2x)