Question

Решите пж 1) (x+y-xy^2)x^2y= 2) (4-x)2x= 3) (x+2)(4-x)= 4) (y^2+3)(7-y) 5) 32m^9×m^3-m×0,5m^4+3m^2-24×0,2m-n×0,4+14-14m^2×m^1 0

Answer 1

$1. (x+y-xy^2)x^2y = x^3y + x^2y^2 - x^3y^3\\2. (4-x)2x = 8x - 2x^2\\3. (x+2)(4-x) = -x^2 + 2x + 8\\4. (y^2+3)(7-y) = -y^3 + 7y^2 - 3y + 21\\5. 32m^9*m^3 - m*0.5m^4 + 3m^2-24*0.2m-n*0.4+14-14m^2*m^{10} = 32m^{12} - \frac{1}{2}m^5 + 3m^2 - 4.8m - 0.4n +14 - 14m^{12} = 18m^{12} - 0.5m^5 + 3m^2 - 4.8m - 0.4n + 14$

Answer 2

To solve each expression, let's simplify and perform the necessary calculations:

1. (x + y - xy^2) * x^2 * y

Expand the expression: x^3 * y + xy^2 * x^2 * y - x^2 * y^3

Simplify further: x^3 * y + x^3 * y^3 - x^2 * y^3

2. (4 - x) * 2x

Expand the expression: 8x - 2x^2

3. (x + 2) * (4 - x)

Expand the expression: 4x - x^2 + 8 - 2x

Simplify further:

• x^2 + 2x + 8

4. (y^2 + 3) * (7 - y)

Expand the expression: 7y^2 - y^3 + 21 - 3y

Simplify further: -y^3 + 7y^2 - 3y + 21

5. 32m^9 * m^3 - m * 0.5m^4 + 3m^2 - 24 * 0.2m - n * 0.4 + 14 - 14m^2 * m

Perform the operations step by step:

32m^9 * m^3 = 32m^(9+3) = 32m^12

-m * 0.5m^4 = -0.5m^5

-24 * 0.2m = -4.8m

-14m^2 * m = -14m^(2+1) = -14m^3

Now, let's put all the terms together:

32m^12 - 0.5m^5 + 3m^2 - 4.8m - n * 0.4 + 14 - 14m^3

The expression is now simplified. If there are any specific values for variables like 'm' and 'n,' you can plug them into the expression to get the numerical result.