Answer:
(7c + 5d)²
Step-by-step explanation:
In order to factor a quadratic equation, we need to look at the coefficients of all the terms. In this case the following quadratic:
49c² + 70cd + 25d², has an 'a' = 49, 'b' = 70 and 'c' = 25.
When we take the √49 = 7 and the √25 = 5, we can see that when we multiply 7 x 5 = 35 and 35 + 35 = 70, so we know that our two equations will be the same: (7c + 5d)
Using the FOIL (forward, outside, inside, last) method, we can check our answer:
(7c + 5d)(7c + 5d) = 49c² + 35cd + 35cd + 25d² or 49c² + 70cd + 25d²
