Question

Expand and simplify (x+5)(x-2)

expand and simplify (x+2)(x+1)
expand and simplify (x+3)(x-4)

Answer 1

x²+3x-10,

x²+3x+2,

x²-x-12

Explanation:

1) (x+5)(x-2)

x²-2x+5x-10

x²+3x-10

2) (x+2)(x+1)

x²+x+2x+2

x²+3x+2

3) (x+3)(x-4)

x²-4x+3x-12

x²-x-12

Answer 2

`{x}^(2) - x - 12 = (x + 3)(x - 4)`

`{x}^(2) + 3x + 2 = (x + 2)(x + 1)`

`{x}^(2) + 3x - 10 = (x + 5)(x - 2)`

Explanation:

F [First terms] - Multiply the first terms in each set of parentheses FARTHEST TO THE LEFT

O [Outside terms] - Multiply the first term in the first set of parentheses FARTHEST TO THE LEFT by the last term in the second set of parentheses FARTHEST TO THE RIGHT

I [Inside terms] - Multiply the last term in the first set of parentheses FARTHEST TO THE RIGHT by the first term in the second set of parentheses FARTHEST TO THE LEFT

L [Last terms] - Multiply the last terms in each set of parentheses FARTHEST TO THE RIGHT

`{x}^(2) - x - 12 = {x}^(2) - 4x + 3x - 12`

`{x}^(2) + 3x + 2 = {x}^(2) + x + 2x + 2`

`{x}^(2) + 3x - 10 = {x}^(2) - 2x + 5x - 10`

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