Question

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

Answer 1

Answer:

x^2 + 3x - 10

Step-by-step explanation:

Use the FOIL Method to distribute the terms into each other:

• F - Multiply first terms
• O - Multiply Outside terms
• I - Multiple Inside terms
• L - Multiply Last terms

In (x + 5)(x - 2):

• First terms: x and x;
• x(x) = x^2
• Outside terms: x and -2;
• x(-2) = -2x
• Inside terms: 5 and x;
• x(5) = 5x
• Last terms: 5 and -2;
• 5(-2) = -10

• Result: x^2 -2x + 5x + 10

Now simplify by combining like-terms:

• x^2 - 2x + 5x +10 = x^2 + 3x - 10