Question

Выполните действия : a) (y+4)*(y-2) б) (3x-5)*(2x+9) в) (m+1 )*(m^2-m+3) РЕШЕНИЕ НЕ НУЖНО!! КАК НАЗЫВАЕТСЯ ТЕМА? И КАК ЕЕ РЕШАТЬ? ЗАВТРА КР ЧТО ДЕЛАТЬ ПОМОГИТЕ ПОЖАЛУЙСТА!!!

Answer 1

Может быть перемножение одночленов или операции с многочленами

Answer 2

Task a: (y+4)*(y-2)

The expression (y+4)*(y-2) represents a quadratic equation. To simplify it, we can use the distributive property of multiplication over addition.

Expanding the expression, we get: (y+4)*(y-2) = y*(y-2) + 4*(y-2)

Multiplying each term, we have: y*(y-2) = y^2 - 2y 4*(y-2) = 4y - 8

Combining the terms, we get: (y+4)*(y-2) = y^2 - 2y + 4y - 8

Simplifying further, we have: (y+4)*(y-2) = y^2 + 2y - 8

Task б: (3x-5)*(2x+9)

The expression (3x-5)*(2x+9) also represents a quadratic equation. To simplify it, we can again use the distributive property of multiplication over addition.

Expanding the expression, we get: (3x-5)*(2x+9) = 3x*(2x+9) - 5*(2x+9)

Multiplying each term, we have: 3x*(2x+9) = 6x^2 + 27x 5*(2x+9) = 10x + 45

Combining the terms, we get: (3x-5)*(2x+9) = 6x^2 + 27x - 10x - 45

Simplifying further, we have: (3x-5)*(2x+9) = 6x^2 + 17x - 45

Task в: (m+1)*(m^2-m+3)

The expression (m+1)*(m^2-m+3) represents a cubic equation. To simplify it, we can once again use the distributive property of multiplication over addition.

Expanding the expression, we get: (m+1)*(m^2-m+3) = m*(m^2-m+3) + 1*(m^2-m+3)

Multiplying each term, we have: m*(m^2-m+3) = m^3 - m^2 + 3m 1*(m^2-m+3) = m^2 - m + 3

Combining the terms, we get: (m+1)*(m^2-m+3) = m^3 - m^2 + 3m + m^2 - m + 3

Simplifying further, we have: (m+1)*(m^2-m+3) = m^3 + 2m + 3

Topic and Solution:

The topic of these expressions is polynomial multiplication. To solve these types of problems, we use the distributive property to expand the expression and then combine like terms to simplify the result. By following these steps, we can simplify the given expressions into quadratic or cubic equations.

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