Question

Разложите на множители a(b-c)+b^2(b-c)-7(c-b) x(x-y)+y(y-x)-3(x-y) x(a-2)+y(2-a)+(2-a) a(b-3)+(3-b)-b(3-b) Помогите пожалуйста.не забудьте что надо разложить на множители пж")

Answer 1

1)a(b-c)+b^2(b-c)-7(c-b)=a(b-c)+b^2(b-c)-7(-(b-c))=a(b-c)+b^2(b-c)-7(b-c)=(b-c)(a+b^2+7)

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

3)x(a-2)+y(2-a)+(2-a)=x(a-2)+y(-(a-2))+(2-a)=x(a-2)+y(a-2)+(2-a)=(a-2)(x-y-1)

4)a(b-3)+(3-b)-b(3-b)=a(b-3)+(3-b)-b(-(b-3))=a(b-3)+(3-b)-b(b-3)=(b-3)(a-1+b)

Answer 2

Ответ:

1)(a+b^2+7)

2)(x-y)(x-y-3)

3)(a-2)(x-y-1)

4)(b-3)(a-1+b)

Answer 3

Factoring the Given Expression

To factor the given expression, let's start by breaking it down step by step:

Step 1: Factor out common terms from each pair of terms: - Factor out (b-c) from the first two terms: a(b-c) + b^2(b-c) - Factor out (c-b) from the next two terms: -7(c-b) - Factor out (x-y) from the next two terms: x(x-y) + y(y-x) - Factor out (2-a) from the next two terms: x(2-a) + y(2-a) - Factor out (3-b) from the last two terms: (2-a) + a(b-3) + (3-b) - b(3-b)

Step 2: Simplify the factored terms.

Let's proceed with factoring the given expression based on the steps outlined above.

Factored Expression

The factored expression is as follows: - (b-c)(a+b^2) - 7(c-b) + (x-y)(x+y) - (x-y)(a-2) + (2-a)(x-y) + (3-b)(a-1)

Simplified Factored Expression

The simplified factored expression is as follows: - (b-c)(a+b^2) + 7(b-c) + (x-y)(x+y) - (x-y)(a-2) - (a-2)(x-y) - (3-b)(a-1)

This is the factored and simplified expression based on the given input.