Answer:
see explanation
Step-by-step explanation:
the standard form of a quadratic expression is ax² + bx + c ( a ≠ 0 )
(1)
(2x + 5)(x + 1)
each term in the second factor is multiplied by each term in the first factor, that is
2x(x + 1) + 5(x + 1) ← distribute parenthesis
= 2x² + 2x + 5x + 5 ← collect like terms
= 2x² + 7x + 5 ← in standard form (a = 2, b = 7, c = 5 )
(2)
(x - 2)(x + 2)
= x(x + 2) - 2(x + 2) ← distribute parenthesis
= x² + 2x - 2x - 4 ← collect like terms
= x² - 4 ← in standard form (a = 1, b = 0, c = - 4 )
