tính gtri biểu thức
a, P= 3x^2 - 2x + 3y^2 - 2y + 6xy - 100 biết x+y = 5
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a: \(M=x^3+x^2-y^3+y^2+xy-3xy-95\)
\(=\left(x-y\right)^3+\left(x-y\right)^2-95\)
\(=7^3+7^2-95=297\)
b: \(N=3\left[\left(x+y\right)^2-2xy\right]-2\left(x+y\right)+6xy-100\)
\(=3\cdot\left(25-2xy\right)-10+6xy-100\)
=75-6xy-10+6xy-100
=-35
Ta có : \(C=3x^2-2x+3y^2-2y+6xy-100\)
= \(\left(3x^2+3y^2+6xy\right)-\left(2x+2y\right)-100\)
=\(3\left(x+y\right)^2-2\left(x+y\right)-100\)
=\(3\cdot5^2-2\cdot5-100=-35\)
A=3(x2+2xy+y2)-2(x+y)-100=3(x+y)2-2.5-100=3.52-110=-35
B=x3+3x2y+3xy2+y3-2(x2+2xy+y2)+3(x+y)+10=(x+y)3-2(x+y)2+3.5+10=53-2.52+25=100
trả lời:
A=3(x2+2xy+y2)-2(x+y)-100
=3(x+y)2-2.5-100
=3.52-110
=-35
B=x3+3x2y+3xy2+y3-2(x2+2xy+y2)+3(x+y)+10
=(x+y)3-2(x+y)2+3.5+10
=53-2.52+25
=100
học tốt
\(a,P=3x^2-2x+3y^2-2y+6xy-100\)
\(P=3\left(x^2+y^2\right)-\left[2\left(x+y\right)\right]+6xy-100\)
\(P=3\left(x^2+y^2+2xy-2xy\right)-2.5+6xy-100\)
\(P=3\left(x+y\right)^2-6xy-10+6xy-100\)
\(P=3.25-10-100\)
\(P=-35\)
\(b,Q=x^3+y^3-2x^2-2y^2+3xy\left(x+y\right)-4xy+3\left(x+y\right)+10\)
\(Q=\left(x+y\right)\left(x^2-xy+y^2\right)-2\left(x^2+y^2+2xy-2xy\right)+3xy.5-4xy+3.5+10\)\(Q=5.\left(x^2+y^2+2xy-3xy\right)-2\left(x+y\right)^2+4xy+15xy-4xy+25\)
\(Q=5.5-15xy-2.25+15xy+25\)
\(Q=25-50+25=0\)
a) P= 3x2 -2x + 3y2-2y + 6xy -100
= (3x2+ 3y2 + 6xy) - 2(x+y) -100
=3(x2 + y2 +2xy) - 2(x+y) -100
=3(x+y)2 - 2(x+y) -100
=3 . 52 -2 .5 -100
=35
b) Q=x3 + y3 -2x2 -2y2 + 3xy (x+y) -4xy + 3(x+y) + 10
=(x3 +y3) + 3xy (x+y) + 3(x+y) -4xy -2x2 -2y2 + 10
=(x+y) (x2 -xy +y2 ) + 3xy (x+y) + 3 (x+y) - 2 (2xy + x2 +y2 ) + 10
=(x+y) (x2 -xy +y2 + 3xy ) + 3(x+y) -2 (2xy + x2 + y2 ) + 10
=(x+y) (x2 +2xy +y2 ) + 3(x+y) - 2(x+y)2 + 10
= (x+y)3 + 3(x+y) - 2 (x+y)2 + 10
=53 + 3.5 -2. 52+ 10
=100
a)A=3(x2+2xy+y2)-2(x+y)-100=3(x+y)2-2.5-100=3.52-110=-35
b)B=x3+3x2y+3xy2+y3-2(x2+2xy+y2)+3(x+y)+10=(x+y)3-2(x+y)2+3.5+10=53-2.52+25=100
(l ike nha)
A= (3x2+3y2) - 2 (x+y) +6xy+1953
A= 3(x2+y2) - 2(x+y) +6xy+1953
A= 3(x2+2xy+y2 - 2xy) - 2(x+y) +6xy +1953
A= 3 [(x+y)2 -2xy] - 2(x+y) +6xy+1953
A= 3(x+y)2 -6xy - 2(x+y) +6xy+1953
A= 3(x+y)2 - 2(x+y)+1953
Thayy x+y =5 vào A, ta được:
A= 3.52 - 2.5 +1953
A= 2018.
Bài 1:
a) (2x - y) + (2x - y) + (2x - y) + 3y
= 3(2x - y) + 3y
= 3(2x - y + 3y)
= 3(2x + 2y)
= 3.2(x + y)
= 6(x + y)
b) (x + 2y) + (x - 2y) + (8x - 3y)
= x + 2y + x - 2y + 8x - 3y
= 9x - 3y
= 3(3x - y)
c) (x + 2y) - 2(x - 2y) - (2x - 3y)
= x + 2y - 2x + 4y - 2x + 3y
= 9y - 3x
= 3(3y - x)
Bài 2:
M + 2(x2 - 4y2) + Q = 6x2 - 4xy + 5y2 + P
M + 2x2 - 8y2 -3x2 + 7xy - 2y2 = 6x2 - 4xy + 5y2 + 9x2 - 6xy + 3y2
M + 2x2 - 3x2 - 6x2 - 9x2 - 8y2 - 2y2 - 5y2 - 3y2 + 7xy + 4xy + 6xy = 0
M - 16x2 - 18y2 + 17xy = 0
M = 16x2 + 18y2 - 17xy
P =( x2 + y2 +1 - 2x - 2y +2xy ) + 2 (x2 + 2xy + y2 ) - 101
P=(x + y 1)2 +2(x + y)2 101
P=(5 -1)2 +2.52 -101 (vì x+y=5)
P= 35