Expand and simplify.a. (y + 5)⁠(y + 9)b. (4x − 7)⁠(3x + 2)

a. To expand (y + 5)(y + 9), you use the distributive property (also known as the FOIL method):

First terms: y * y = y² Outer terms: y * 9 = 9y Inner terms: 5 * y = 5y Last terms: 5 * 9 = 45

Add these all together to get: y² + 9y + 5y + 45

Then, combine like terms to simplify: y² + 14y + 45

b. To expand (4x - 7)(3x + 2), you again use the distributive property:

First terms: 4x * 3x = 12x² Outer terms: 4x * 2 = 8x Inner terms: -7 * 3x = -21x Last terms: -7 * 2 = -14

Add these all together to get: 12x² + 8x - 21x - 14

Then, combine like terms to simplify: 12x² - 13x - 14