Question

ayudaaa
1. 4x (4x 2 + 3y)
2. -5z 4 (-3zw + 2w -9 + 6z 4 w)
3. (-2x + 3y – z)(-2x – 3xy + 4z – 6y)

Answer 1

Respuesta:

1. 32x^2+12xy

2. -20z (21zw+2w-9)

3. 6x^2y+4x^2-9xy^2+6xy-6xz+3xyz-18y^2-4z^2+ 18yz.

Explicación paso a paso:

1. 4x (4x 2+3y)

= 4x (4x×2+3y)

= 4x (4×2x+3y)

a×(b+c)= a×b + a×c

a= 4x. b= 4x×2 c=3y

= 4x×4x×2+4x×3y

= 4×4×2xx+4×3xy

4×4=16

= 16×2xx+4×3xy

16×2=32

= 32xx+4×3xy

32^x+x

x=x^1+1

32x^1+1

1+1=2

32x^2

= 32x^2+4×3xy

4×3=12

12+xy=12xy

= 32x^2+12xy

2. -5z 4 (-3zw + 2w -9 + 6z 4 w)

= -5z×4(-3zw+2w-9+6z×4w)

6z×4w= 6×4zw

6×4=24

24+zw=24zw

= -5z×4(2w+24zw-3zw-9)

24zw - 3zw= 21zw

= -5z×4(2w+21zw-9

-5z×4=-5×4z

5×4=20. +×-=-

-20+z=20z

= 20z(2w+21zw-9)

3. (-2x+3y-z)(-2x-3xy+4z-6y)

= (-2x) (-2x)+(-2x)(-3xy)+(-2x)×4z+(-2x)(-6y)+3y(-2x)+3y(-3xy)+3y×4z+3y(-6y)+(-z)(-2x)+(-z)(-3xy)+(-z)×4z+(-z)(-6y)

(-a)(-b)=ab, +(-a)=-a

= 2×2xx + 2×3xxy - 2×4xz + 2×6xy - 3×2xy - 3×3xyy + 3×4yz - 3×6yy + 2xz + 3xyz - 4zz + 6yz

2×2xx = 2×2= 4xx= 4^x+x= x^1+1=4x^1+1 = 1+1=2 = 4x^2

= 4x^2 + 2×3xxy - 2×4xz + 2×6xy - 3×2xy - 3×3xyy + 3×4yz - 3×6yy + 2xz + 3xyz - 4zz + 6yz

2×3xxy= 2×3= 6= 6xxy = 6^x+xy = x^1+1=6x^1+1y= 1+1=2 = 6x^2y

= 4x^2 + 6x^2y - 2×4xz + 2×6xy - 3×2xy - 3×3xyy + 3×4yz - 3×6yy + 2xz + 3xyz - 4zz + 6yz

2×4xz= 2×4= 8+xz= 8xz

= 4x^2 + 6x^2y - 8xz + 2×6xy - 3×2xy - 3×3xyy + 3×4yz - 3×6yy + 2xz + 3xyz - 4zz + 6yz

2×6xy= 2×6=12+xy=12xy

= 4x^2 + 6x^2y - 8xz + 12xy - 3×2xy - 3×3xyy + 3×4yz - 3×6yy + 2xz + 3xyz - 4zz + 6yz

3×2xy= 3×2= 6+xy=6xy

= 4x^2 + 6x^2y - 8xz + 12xy - 6xy - 3×3xyy + 3×4yz - 3×6yy + 2xz + 3xyz - 4zz + 6yz

3×3xyy= 3×3=9+xyy=9xyy= 9x^y+y= y^1+1= 9xy^1+1= 1+1=2 = 9xy^2

= 4x^2 + 6x^2y - 8xz + 12xy - 6xy - 9xy^2 + 3×4yz - 3×6yy + 2xz + 3xyz - 4zz + 6yz

3×4yz= 3×4= 12+yz= 12yz

= 4x^2 + 6x^2y - 8xz + 12xy - 6xy - 9xy^2 + 12yz - 3×6yy + 2xz + 3xyz - 4zz + 6yz

3×6yy= 3×6= 18+yy= 18yy= 18^y+y= y^1+1= 18y^1+1= 1+1=2 18y^2

= 4x^2 + 6x^2y - 8xz + 12xy - 6xy - 9xy^2 + 12yz - 18y^2 + 2xz + 3xyz - 4zz + 6yz

4zz= 4^z+z= z^1+1= 4z^1+1= 1+1=2 = 4z^2

= 4x^2 + 6x^2y - 8xz + 12xy - 6xy - 9xy^2 + 12yz - 18y^2 + 2xz + 3xyz - 4z^2 + 6xy

agrupamos los términos semejantes:

= 6x^2y + 4x^2 - 9xy^2 + 12xy - 6xy - 8xz +2xz + 3xyz - 18y^2 - 4z^2 + 12yz + 6yz

sumar elementos similares

12xy - 6xy= 6xy

= 6x^2y + 4x^2 - 9xy^2 + 6xy - 8xz + 2xz + 3xyz - 18y^2 - 4z^2 + 12yz + 6yz

-8xz + 2xz= -6xz

= 6x^2y + 4x^2 - 9xy^2 + 6xy - 6xz + 3xyz - 18y^2 - 4z^2 + 12yz + 6yz

12yz + 6yz= 18yz

= 6x^2y + 4x^2 - 9xy^2 + 6xy - 6xz + 3xyz - 18y^2 - 4z^2 + 18yz

aquí está, los 3 ejercicios, literalmente resueltos paso por paso! espero entiendas y te ayude! coronita pliss ❤️❤️