Question

Упростить: 1:(X+2)•(X-3)-(X+8)•(X-6)=? 2:X•(2x-3y+1)-y•(2y-3x+1)=? Помогите пожалуйста

Answer 1

(x+2)•(x-3)-(x+8)•(x-6)
x^2-3x+2x-6-(x^2-6x+8x-48)
x^2-x-6-x^2-2x+48
-3x+42=0
-3x=-42
3x=42
x=14

x(2x-3y+1)-y(2y-3x+1)
2x^2-3xy+x-2y^2+3xy-y
2x^2+x-2y^2-y
x(2x+1)-y(2y+1)

Answer 2

Simplifying the Expression (X+2)•(X-3)-(X+8)•(X-6)

To simplify the expression (X+2)•(X-3)-(X+8)•(X-6), we can expand the brackets and combine like terms.

Expanding the first bracket: (X+2)•(X-3) = X•X + X•(-3) + 2•X + 2•(-3) = X^2 - 3X + 2X - 6 = X^2 - X - 6

Expanding the second bracket: (X+8)•(X-6) = X•X + X•(-6) + 8•X + 8•(-6) = X^2 - 6X + 8X - 48 = X^2 + 2X - 48

Substituting the expanded brackets back into the original expression: (X+2)•(X-3)-(X+8)•(X-6) = (X^2 - X - 6) - (X^2 + 2X - 48)

Now, let's simplify further by combining like terms: (X^2 - X - 6) - (X^2 + 2X - 48) = X^2 - X - 6 - X^2 - 2X + 48

Combining like terms: X^2 - X^2 - X - 2X - 6 + 48 = -3X + 42

Therefore, the simplified expression is -3X + 42.

Simplifying the Expression X•(2X-3Y+1)-Y•(2Y-3X+1)

To simplify the expression X•(2X-3Y+1)-Y•(2Y-3X+1), we can expand the brackets and combine like terms.

Expanding the first bracket: X•(2X-3Y+1) = X•2X - X•3Y + X•1 = 2X^2 - 3XY + X

Expanding the second bracket: Y•(2Y-3X+1) = Y•2Y - Y•3X + Y•1 = 2Y^2 - 3XY + Y

Substituting the expanded brackets back into the original expression: X•(2X-3Y+1)-Y•(2Y-3X+1) = (2X^2 - 3XY + X) - (2Y^2 - 3XY + Y)

Now, let's simplify further by combining like terms: (2X^2 - 3XY + X) - (2Y^2 - 3XY + Y) = 2X^2 - 3XY + X - 2Y^2 + 3XY - Y

Combining like terms: 2X^2 - 2Y^2 + X - Y

Therefore, the simplified expression is 2X^2 - 2Y^2 + X - Y.