Jasonbradley
Home

(x + Y + 3)(x + Y - 4)

2 min read Jun 16, 2024
(x + Y + 3)(x + Y - 4)

Expanding the Expression: (x + y + 3)(x + y - 4)

This expression involves the product of two binomials. To expand it, we can use the distributive property, also known as FOIL (First, Outer, Inner, Last).

Step-by-step Expansion:

  1. Multiply the First terms: (x + y + 3) * (x + y - 4) = x * x + ...

  2. Multiply the Outer terms: (x + y + 3) * (x + y - 4) = x * x + x * (-4) + ...

  3. Multiply the Inner terms: (x + y + 3) * (x + y - 4) = x * x + x * (-4) + (y + 3) * x + ...

  4. Multiply the Last terms: (x + y + 3) * (x + y - 4) = x * x + x * (-4) + (y + 3) * x + (y + 3) * (-4)

  5. Simplify: x^2 - 4x + xy + 3x + y^2 + 3y - 4y - 12

  6. Combine like terms: x^2 + y^2 + xy - x - y - 12

Final Result

Therefore, the expanded form of (x + y + 3)(x + y - 4) is x^2 + y^2 + xy - x - y - 12.

Featured Posts