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ENOTek
@ENOTek
July 2022
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sagirovna
1)
(2а-1)^2= 4а^2-4а+1
(х+3у)^2= х^2+6ху+9у^2
(7-х)*(7+х)= 49 -х^2
2)
(х+5)^2 -5х*(2-х)= х^2+10х+25-10х+5х^2= 6х^2+25
16у+2*(у-4)^2= 16у+2*(у^2-8у+16)=16у+2у^2-16у+32=2у^2+32=2*(у^2+16)
3)
81-а^2=(9+а)*(9-а)
5х^2 -5у^2= 5*(х^2 -у^2)= 5*(х-у)*(х+у)
3х^2 -6ху+3у^2= 3*(х^2-2ху+у^2)=3*(х-у)^2
4)
(а^2+4а)^2 -а^2*(а-2)*(а+2)-4а^2*(2а-1)= а^4 +8a^3 +16a^2 -a^4 +4a^2 -8a^3 +4a^2= 16a^2 +4a^2 +4a^2 = 24a^2
5) позже
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ENOTek
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sagirovna
5) а) (х-2)^2-16= x^2 -4x+4-16= x^2 -4x-12; б) a^3 +1/8 y^3 = (a+1/2 y)*(a^2 +1/2 ay+1/4 y); в) 81y^4 - x^4 =(3-x)*(3+x)*(9y^2 +x^2); г) a-a^2 +b+b^2 =(a+b)-(a^2 -b^2) = (a+b)-(a+b)*(a-b)= (a+b)*(1-a+b)
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Answers & Comments
(2а-1)^2= 4а^2-4а+1
(х+3у)^2= х^2+6ху+9у^2
(7-х)*(7+х)= 49 -х^2
2)
(х+5)^2 -5х*(2-х)= х^2+10х+25-10х+5х^2= 6х^2+25
16у+2*(у-4)^2= 16у+2*(у^2-8у+16)=16у+2у^2-16у+32=2у^2+32=2*(у^2+16)
3)
81-а^2=(9+а)*(9-а)
5х^2 -5у^2= 5*(х^2 -у^2)= 5*(х-у)*(х+у)
3х^2 -6ху+3у^2= 3*(х^2-2ху+у^2)=3*(х-у)^2
4)
(а^2+4а)^2 -а^2*(а-2)*(а+2)-4а^2*(2а-1)= а^4 +8a^3 +16a^2 -a^4 +4a^2 -8a^3 +4a^2= 16a^2 +4a^2 +4a^2 = 24a^2
5) позже