Final answer:
The product in the form a bi for the expression (-2 + 7i)(-5 + 6i) is -32 - 47i.
Step-by-step explanation:
To find the product in the form a + bi, we multiply the real parts together and the imaginary parts together. For the given expression, (-2 + 7i)(-5 + 6i), the real parts are -2 and -5, and the imaginary parts are 7i and 6i. Multiplying them together, we get (-2)(-5) + (7i)(-5) + (-2)(6i) + (7i)(6i) = 10 - 35i - 12i + 42i^2 = 10 - 47i - 42 = -32 - 47i. So, the product in the form a + bi is -32 - 47i.