136k views
4 votes
Evaluate 8a 3b-10 c²8a 3b−10 c 2 8, a, plus, 3, b, minus, 10, plus, c, squared when a=2a=2a, equals, 2, b=5b=5b, equals, 5, and c=4c=4c, equals, 4.

User Illiax
by
7.2k points

1 Answer

3 votes

Final answer:

After substituting the given values into the expression 8a + 3b - 10 + c², the expression evaluates to 37.

Step-by-step explanation:

To evaluate the expression 8a + 3b - 10 + c² given the values a=2, b=5, and c=4, we substitute these values into the expression.

  • First, we substitute a with 2: 8(2) = 16.
  • Next, we substitute b with 5: 3(5) = 15.
  • Then, we substitute c with 4 and square it: (4)² = 16.
  • Finally, we combine all the terms: 16 + 15 - 10 + 16 = 37.
  • Next, we simplify the expression:
  • 64(15) - 160 = 960 - 160
  • = 800
  • Therefore, the value of the expression 8a^3b - 10c^2 when a = 2, b = 5, and c = 4 is 800.

So the expression evaluates to 37.

User Sefiks
by
8.0k points