Question

1)(8 + 3x) (2 y - 1)2)3a-3c+xa+xc3)6x+7y+42+xy4)ab-ac-4b+4cпогите плиз.​

Answer 1

1)(8 + 3x) (2 y - 1)=8*2y-8+3x*2y-3x = 16y-8+6xy-3x

2)3a-3c+xa+xc = 3a-3c +ax +cx

3)6x+7y+42+xy = 6(x+7)+y(7+x)= (x+7)(6+y)

4)ab-ac-4b+4c = a (b-c)-4(b-c)= (b-c)(a-4)

Answer 2

1) To simplify the expression (8 + 3x) + (2 + y - 1), we can combine like terms.

First, let's simplify the expression inside the first set of parentheses: 8 + 3x. Since there are no like terms to combine, we leave it as it is.

Next, let's simplify the expression inside the second set of parentheses: 2 + y - 1. Again, there are no like terms to combine, so we leave it as it is.

Now, we can combine the two simplified expressions: (8 + 3x) + (2 + y - 1).

Adding the terms inside the parentheses, we get: 8 + 3x + 2 + y - 1.

Combining like terms, we have: 10 + 3x + y - 1.

Simplifying further, we get the final expression: 9 + 3x + y.

2) To simplify the expression 3a - 3c + xa + xc, we can combine like terms.

First, let's combine the terms with 'a': 3a + xa. Since both terms have 'a', we can add their coefficients: 3a + xa = (3 + x)a.

Next, let's combine the terms with 'c': -3c + xc. Again, both terms have 'c', so we can add their coefficients: -3c + xc = (-3 + x)c.

Now, we can combine the simplified expressions: (3 + x)a + (-3 + x)c.

Simplifying further, we get the final expression: (3 + x)a + (-3 + x)c.

3) To simplify the expression 6x + 7y + 42 + xy, we can combine like terms.

First, let's combine the terms with 'x': 6x + xy. Since both terms have 'x', we can add their coefficients: 6x + xy = (6 + y)x.

Next, let's combine the terms with 'y': 7y. There are no other terms with 'y', so we leave it as it is.

Now, we can combine the simplified expressions: (6 + y)x + 7y + 42.

Simplifying further, we get the final expression: (6 + y)x + 7y + 42.

4) To simplify the expression ab - ac - 4b + 4c, we can combine like terms.

First, let's combine the terms with 'a': ab - ac. Since both terms have 'a', we can subtract their coefficients: ab - ac = (b - c)a.

Next, let's combine the terms with 'b': -4b. There are no other terms with 'b', so we leave it as it is.

Then, let's combine the terms with 'c': 4c. There are no other terms with 'c', so we leave it as it is.

Now, we can combine the simplified expressions: (b - c)a - 4b + 4c.

Simplifying further, we get the final expression: (b - c)a - 4b + 4c.

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