The square of (2x + y) and the factorization of (x-2y)

The square of (2x + y) and the factorization of (x-2y)

=[(2x+y)+(x-2y)][(2x+y)-(x-2y)]
=(3x-y)(x+3y)

If the value of the square of the algebraic expression 2x + 3x is 8, then the value of the square of the algebraic expression 4x + 6x + 9 is () If the value of the square of the algebraic expression 2x + 3x is 8, then the value of the square of the algebraic expression 4x + 6x + 9 is () It is better to have a complete analysis and explanation of the process and questions!

The square of 2x + 3x = 8
4X squared + 6x = 16
The square of 4x + 6x + 9 = 16 + 9 = 25
The square of 4x + 6x + 9 is (25)

1. Given the square of X + x = 1, find the value of the fourth power of X + the cubic power of 2x - X - 2x + 2005

x⁴+2x³-x²-2x+2005
=x⁴+x³+x³+x²-2x²-2x+2005
=x²(x²+x)+x(x²+x)-2(x²+x)+2005
=x²+x-2+2005
=1-2+2005
=2004

If x2 + X-1 = 0, then the value of the algebraic expression X3 + 2x2-7 is () A. 6 B. 8 C. -6 D. -8

From x2 + X-1 = 0, X2 + x = 1,
∴x3+2x2-7=x3+x2+x2-7，
=x（x2+x）+x2-7，
=x+x2-7，
=1-7，
=-6．
Therefore, C

If the square root of a positive number is 2x + 1 and x minus 7, then what is the positive number?

2x+1+x-7=0
X=2
So it's 25

It is known that the second power of x plus x minus 3 is equal to 0. Find the value of the algebraic formula X which is the third power plus 1991 times of the square of x plus 1987 times of x plus 1990

x^2+x-3=0,
x^3+1991x^2+1987x+1990
=x(x^2+x-3)+1990x^2+1990x+1990
=x*0+1990(x^2+x-3)+2*1990
=1990*0+3980
=3980.

1、 Given that the square of x minus x minus one is equal to zero, find the three power of algebraic negative x plus the square of two times x plus the value of 2011.2, and know that A is equal to the square of 2 times x plus 3xy plus 2x minus 1, B equals the square of x plus XY plus 3x minus 2, and the value of a minus 2B has nothing to do with X. find the value of Y.

x^2-x-1=0
X ^ 2-x = 1
The cubic of negative x plus the square of x times 2011
=-x^3+2x^2+2011
=-x(x^2－x-x)+2011
=-x(1-x)+2011
=-x+x^2+2011
=-1+2011
=2010
A-2B=xy-4x+3=x(y-4)+3
Because: a minus 2B has nothing to do with X
So: no matter what the value of X, only y-4 = 0 has nothing to do with X
A-2B＝3
So: y = 4

Given that the value of the square of the algebraic formula x + 3x + 5 is equal to 7, find the value of the square of the algebraic expression 3x + 9x + 2

Because x 2 + 3x + 5 = 7
Then x 2 + 3x = 2
3x²+9x+2
=3（x²+3x）+2
=3×2+2
=8

It is known in the first mathematics that 3x-4y-z=0,2x+y-8z=0, and X, y, Z are not all 0 to find the value of x 2 +2xy+z 2 /xy+yz+zx

3x-4y-z=0 2x+y-8z=08x+4y-32z=0 3x-4y-z+8x+4y-32z=011x-33z=0x=3z y=2z x²+2xy+z²/xy+yz+zx=(3z)^2+12z^2+z^2/6z^2+2z^2+3z^2=9z^2+12z^2+z^2/6z^2+2z^2+3z^2=22z^2/11z^2=2

If x + y + Z = a, XY + YZ + ZX = B, XYZ = C, then XY ^ 2 + x ^ 2Y + YZ ^ 2 + y ^ 2Z + XZ ^ 2 + x ^ 2Z =?

Answer: ab-3c
Add 3xyz to the left side of the equation and extract the common factor to get XY (x + y + Z) + YZ (x + y + Z) + ZX (x + y + Z) = (XY + YZ + ZX) (x + y + Z) = AB, so the result is ab-3xyz = ab-3c