Expand and simplify: a) (x + 6)(x - 5) [2 marks] b) (2x - 1)(x + 9) [2 marks] c) (4y + 5)^2 [2 marks]
Expand and simplify: a) (x + 6)(x - 5) [2 marks] b) (2x - 1)(x + 9) [2 marks] c) (4y + 5)^2 [2 marks]
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info@snapandsolve.coma) (x + 6)(x - 5)
Using the FOIL method:
First: x * x = x2
Outer: x * (-5) = -5x
Inner: 6 * x = 6x
Last: 6 * (-5) = -30
Combine like terms: x2 + x - 30
b) (2x - 1)(x + 9)
Using the FOIL method:
First: 2x * x = 2x2
Outer: 2x * 9 = 18x
Inner: -1 * x = -x
Last: -1 * 9 = -9
Combine like terms: 2x2 + 17x - 9
c) (4y + 5)2
Using the formula (a + b)2 = a2 + 2ab + b2:
a = 4y, b = 5
(4y)2 + 2(4y)(5) + 52
16y2 + 40y + 25
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