Answer:
Part A: (3a - 4)^2
Part B: (5a + 6b)(5a - 6b)
Step-by-step explanation:
Part A:
It looks like this is the square of a binomial. Now we check it.
9a^2 is the square of 3a.
16 is the square of 4 and of -4.
Check the middle term:
2 * 3a * 4 = 24a
2 * 3a * (-4) = -24a
Since we get -24a when we use 4, the second term of the binomial is 4.
Answer:
9a^2 - 24a + 16 = (3a - 4)^2
Part B:
25a^2 − 36b^2
This is a two-term polynomial. The two terms are perfect squares and there is a subtraction sign between them, so this is the difference of two squares. The difference of two squares factors into the product of a sum and a difference.
25a^2 is the square of 5a.
36b^2 is the square of 6b.
25a^2 − 36b^2 = (5a + 6b)(5a - 6b)
