Please do this 24th prblm......
2 answers:
Answer:
6x^2 - 4y^2 + 2x^2 + 6xy
Step-by-step explanation:
Each of the adjacent sides of the rectangle has a congruent, opposite sides. The perimeter is the sum of the lengths of the 4 sides.
P = 2(3x^2 - 2y^2) + 2(x^2 + 3xy)
P = 6x^2 - 4y^2 + 2x^2 + 6xy
24.
The perimeter of a rectangle l × w is P = 2l + 2w.
We have l = 3x² - 2y² and w = x² + 3xy. Substitute:
P = 2(3x² - 2y²) + 2(x² + 3xy) <em>use distributive property</em>
P = (2)(3x²) + (2)(-2y²) + (2)(x²) + (2)(3xy)
P = 6x² - 4y² + 2x² + 6xy <em>combine like terms</em>
<h3>
P = 8x² + 6xy - 4y²</h3>
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