Final answer:
An expression that represents the perimeter of the triangle is 2a² + 17a + 3b
Step-by-step explanation:
To find the perimeter of a triangle, we need to add up the lengths of all three sides. In this case, the expression given represents the lengths of the sides of the triangle.
To find the perimeter, we add the lengths of the three sides:
Perimeter = 7a² + 5a - 3b + 12a + 6b - 5a² - 8b
Simplifying the expression, we combine like terms:
Perimeter = (7a² - 5a²) + (5a + 12a) + (-3b + 6b) + (-8b)
Combining like terms, we get:
Perimeter = 2a² + 17a + 3b
So, the expression 2a² + 17a + 3b represents the perimeter of the given triangle.
Your question is incomplete, but most probably the full question was:
Write an expression that represents the perimeter of the following triangle
Hint: Sides;
AB= 7a² + 5a - 3b
BC= 12a + 6b
AC=- 5a² - 8b