A=xy-xz+2z-2y

B=2xy-2xz+2²- yt²

C=xy-2yz+y²

^{_{bạn tự tính kết quả nha}}

a: \(A=\left(y-z\right)\left(x-2\right)\)

\(=\left(2-2\right)\cdot\left(1.007-0.06\right)=0\)

b: \(B=2\cdot18.3\cdot\left(24.6-10.6\right)+\left(2-24.6\right)\left(2+31.7\right)\)

\(=36.6\cdot14-761.62=-249.22\)

c: \(C=\left(x-y\right)\left(y+z\right)-y\left(x-y\right)\)

\(=\left(0.86-0.26\right)\left(0.26+1.5\right)-0.26\left(0.86-0.26\right)\)

\(=0.6\cdot1.5=0.9\)

a: \(=\left(2x-y\right)\left(x+y+3x-y\right)+\left(2x-y\right)\)

\(=\left(2x-y\right)\left(4x+1\right)\)

b: \(=abc\left(b^2c-abc+bc^2-a\right)\)

d: \(=x^2\left(2x+3\right)+2x+3=\left(2x+3\right)\left(x^2+1\right)\)

SORY I'M I GRADE 6

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mày hỏi vả bài kiểm tra à thằng điên 

a) \(\left(2x+y\right)^2-\left(2x+y\right)\left(2x-y\right)+y\left(x-y\right)\)

\(=\left(2x+y\right)^2-\left(2x\right)^2+y^2+xy-y^2\)

\(=\left(2x+y+2x\right)\left(2x+y-2x\right)+xy\)

\(=\left(4x+y\right)y+xy\)

\(=\left[4\left(-2\right)+3\right].3+\left(-2\right).3\)

\(=\left(-8+3\right).3+1\)

\(=-15+1\)

\(=-14\)

thôi nha

a/ \(\left(2x+1\right)\left(2x-1\right)-4x^2=\left(2x\right)^2-1^2-4x^2\)

\(=4x^2-1-4x^2\)

b/ \(\left(2x^2+y\right)\left(2x^2-y\right)-4x^2+y^2\)

\(=\left(2x^2\right)^2-y^2-4x^2+y^2=4x^4-y^2-4x^2+y^2=4x^4-4x^2\)

c/ \(\left(2x^2+y\right)^2-\left(2x^2-y\right)^2\)

\(=\left(2x^2+y+2x^2-y\right)\left(2x^2+y-2x^2+y\right)\)

\(=4x^2\cdot2y=8x^2y\)

d/ \(\left(2x^3y+y\right)^2-\left(y-2x^3y\right)^2=\left(2x^3y+y\right)^2-\left(2x^3y-y\right)^2\)

\(=\left(2x^3y+y+2x^3y-y\right)\left(2x^3y+y-2x^3y+y\right)\)

\(=4x^3y\cdot2y=8x^3y^2\)

a) \(A = \frac{2x^2 - 16x+43}{x^2-8x+22}\) = \(\frac{2(x^2-8x+22)-1}{x^2-8x+22}\) = \(2 - \frac{1}{x^2-8x+22}\)

Ta có : \(x^2-8x+22 \) = \(x^2-8x+16+6 = ( x-4)^2 +6 \)

Vì \((x-4)^2 \ge 0 \) với \( \forall x\in R\) Nên \(( x-4)^2 +6 \ge 6 \)

\(\Rightarrow \) \(x^2-8x+22 \) \( \ge 6\)\(\Rightarrow \) \(\frac{1}{x^2-8x+22} \) \(\le \frac{1}{6}\) \(\Rightarrow \) - \(\frac{1}{x^2-8x+22} \) \(\ge - \frac{1}{6}\)

\(\Rightarrow \) A = \(2 - \frac{1}{x^2-8x+22}\) \( \ge 2-\frac{1}{6}\) = \(\frac{11}{6}\) Dấu "=" xảy ra khi và chỉ khi x=4

Vậy GTNN của A = \(\frac{11}{6}\) khi và chỉ khi x=4

bài 1:

|x| = \(\dfrac{1}{3}\) => x = \(\pm\)\(\dfrac{1}{3}\) |y| = 1 => y = \(\pm\)1

a

+) A = 2x\(^2\) - 3x + 5

= 2\(\left(\dfrac{1}{3}\right)^2\) - 3.\(\dfrac{1}{3}\) +5 = 2.\(\dfrac{1}{9}\) - 1 + 5

= \(\dfrac{2}{9}\) - 1 + 5 = \(\dfrac{2-9+45}{9}\) = \(\dfrac{38}{9}\)

+) A = 2x\(^2\) - 3x + 5

= 2\(\left(\dfrac{-1}{3}\right)^2\) - 3\(\left(\dfrac{-1}{3}\right)\) + 5

= 2.\(\dfrac{1}{9}\) - (-1) + 5 = \(\dfrac{2}{9}\) + 1 +5

= \(\dfrac{2+9+45}{9}\) = \(\dfrac{56}{9}\)

b) +) B = 2x\(^2\) - 3xy + y\(^2\)

= 2\(\left(\dfrac{1}{3}\right)^2\) - 3.\(\dfrac{1}{3}\).1 + 1\(^2\)

= 2.\(\dfrac{1}{9}\) - 1 + 1 = \(\dfrac{2}{9}\) - 1 + 1

= \(\dfrac{2-9+9}{9}\) = \(\dfrac{2}{9}\)

+) B = 2x\(^2\) - 3xy + y\(^2\)

= 2\(\left(\dfrac{-1}{3}\right)\)\(^2\) - 3\(\left(\dfrac{-1}{3}\right)\). 1 + 1\(^2\)

= 2.\(\dfrac{1}{9}\) - (-1) + 1 = \(\dfrac{2}{9}\) + 1 + 1

= \(\dfrac{2+9+9}{9}\) = \(\dfrac{20}{9}\)

bài 3

x.y.z = 2 và x + y + z = 0

A = ( x + y )( y +z )( z + x )

= x + y . y + z . z + x = ( x + y + z ) + ( x . y . z )

= 0 + 2 = 2

bài 4

a) | 2x - \(\dfrac{1}{3}\) | - \(\dfrac{1}{3}\) = 0 => | 2x - \(\dfrac{1}{3}\) | = \(\dfrac{1}{3}\)

=> 2x - \(\dfrac{1}{3}\) = \(\pm\) \(\dfrac{1}{3}\)

+) 2x - \(\dfrac{1}{3}\)= \(\dfrac{1}{3}\)

=> 2x = \(\dfrac{1}{3}\) + \(\dfrac{1}{3}\) = \(\dfrac{2}{3}\)

x = \(\dfrac{2}{3}\) : 2 = \(\dfrac{2}{3}\) . \(\dfrac{1}{2}\) = \(\dfrac{1}{3}\)

+) 2x - \(\dfrac{1}{3}\) = \(\dfrac{-1}{3}\)

2x = \(\dfrac{-1}{3}\) + \(\dfrac{1}{3}\) = 0

x = 0 : 2 = 2