Question

Выполните действия: 1)(8х²+9у³+2ху-х)·(-5у) 2)-10м(2м+4р) 3)(-в+у)·(-13-у) 4)(х+у)·(х-13) 5)(м+18)·(у+3) 6)(м+12)·(у-3) ·-это умножить;²-это степень)))))

Answer 1

1) -40x^2y - 45y^4 - 10xy^2 + 5xy
2) -20м^2 - 40мр
3)13в+ву -13у-у^2
4) х^2 -13х +ху-13у
5)му+3м+18у+54
6) му -3м+12у-36

Answer 2

1) Multiplying Polynomials:

To multiply the given polynomial expressions, we need to apply the distributive property and combine like terms.

The first polynomial is: (8x² + 9y³ + 2xy - x) The second polynomial is: (-5y)

To multiply these two polynomials, we need to distribute each term in the first polynomial by the second polynomial and then combine like terms.

Starting with the first term in the first polynomial, which is 8x², we multiply it by -5y: (8x²) * (-5y) = -40x²y

Next, we multiply the second term in the first polynomial, which is 9y³, by -5y: (9y³) * (-5y) = -45y⁴

Continuing this process for the remaining terms, we have: (2xy) * (-5y) = -10xy² (-x) * (-5y) = 5xy

Now, we can combine these terms: -40x²y - 45y⁴ - 10xy² + 5xy

Therefore, the result of multiplying (8x² + 9y³ + 2xy - x) by (-5y) is: -40x²y - 45y⁴ - 10xy² + 5xy

2) Multiplying Expressions with Variables:

The expression given is: -10m(2m + 4r)

To multiply these expressions, we need to apply the distributive property.

Starting with the first term, -10m, we multiply it by each term in the parentheses: -10m * 2m = -20m² -10m * 4r = -40mr

Combining these terms, we get: -20m² - 40mr

Therefore, the result of multiplying -10m by (2m + 4r) is: -20m² - 40mr

3) Multiplying Expressions with Variables:

The expression given is: (-v + u)(-13 - u)

To multiply these expressions, we need to apply the distributive property.

Starting with the first term, -v, we multiply it by each term in the second parentheses: (-v) * (-13) = 13v (-v) * (-u) = vu

Next, we multiply the second term, u, by each term in the second parentheses: u * (-13) = -13u u * (-u) = -u²

Combining these terms, we get: 13v + vu - 13u - u²

Therefore, the result of multiplying (-v + u) by (-13 - u) is: 13v + vu - 13u - u²

4) Multiplying Expressions with Variables:

The expression given is: (x + u)(x - 13)

To multiply these expressions, we need to apply the distributive property.

Starting with the first term, x, we multiply it by each term in the second parentheses: (x) * (x) = x² (x) * (-13) = -13x

Next, we multiply the second term, u, by each term in the second parentheses: u * (x) = ux u * (-13) = -13u

Combining these terms, we get: x² - 13x + ux - 13u

Therefore, the result of multiplying (x + u) by (x - 13) is: x² - 13x + ux - 13u

5) Multiplying Expressions with Variables:

The expression given is: (m + 18)(u + 3)

To multiply these expressions, we need to apply the distributive property.

Starting with the first term, m, we multiply it by each term in the second parentheses: (m) * (u) = mu (m) * (3) = 3m

Next, we multiply the second term, 18, by each term in the second parentheses: 18 * (u) = 18u 18 * (3) = 54

Combining these terms, we get: mu + 3m + 18u + 54

Therefore, the result of multiplying (m + 18) by (u + 3) is: mu + 3m + 18u + 54

6) Multiplying Expressions with Variables:

The expression given is: (m + 12)(u - 3)

To multiply these expressions, we need to apply the distributive property.

Starting with the first term, m, we multiply it by each term in the second parentheses: (m) * (u) = mu (m) * (-3) = -3m

Next, we multiply the second term, 12, by each term in the second parentheses: 12 * (u) = 12u 12 * (-3) = -36

Combining these terms, we get: mu - 3m + 12u - 36

Therefore, the result of multiplying (m + 12) by (u - 3) is: mu - 3m + 12u - 36

I hope this helps! Let me know if you have any more questions.