Question

1) (x-3) * (x+5) - (x^2+x) 2) (y+1) * (y+3) - y (y-1)

Answer 1

$1) (x-3) (x+5) - (x^2+x) =x^2+5x-3x-15-x^2-x=x-15\\\\2) (y+1) (y+3) - y (y-1) =y^2+3y+y+3-y^2+y=5y+3$

Answer 2

Перемножения многочленов, опускание скобок, множенья одночлена на многочлен.ошибочка в последнем +3 допиши

Answer 3

Let's simplify each expression step by step:

1. (x-3) * (x+5) - (x^2+x)

Step 1: Distribute the terms inside the first parentheses: (x * x) + (x * 5) + (-3 * x) + (-3 * 5) - (x^2 + x)

Step 2: Combine like terms: x^2 + 5x - 3x - 15 - x^2 - x

Step 3: Simplify further: (5x - 3x - x) + (x^2 - x^2) - 15

Step 4: More simplification: 2x - 15

The simplified expression is: 2x - 15

2. (y+1) * (y+3) - y * (y-1)

Step 1: Distribute the terms inside the parentheses: (y * y) + (y * 3) + (1 * y) + (1 * 3) - (y * y) + (y * 1)

Step 2: Combine like terms: y^2 + 3y + y + 3 - y^2 + y

Step 3: Simplify further: (y^2 - y^2) + (3y + y) + 3

Step 4: More simplification: 4y + 3

The simplified expression is: 4y + 3