Question

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

Answer 1

Answer:

${x}^{2} + 3x - 10$

Step-by-step explanation:

$(x + 5)(x - 2)$

utilise the Foil method to expand brackets:

F - mulply the first terms (x and x)

O - multiply the outside terms ( x and -2)

I - multiply the inside terms (5 and x)

L - multiply the last terms (5 and -2)

Then add them as following:

${x}^{2} - 2x + 5x - 10$

Then combine like terms:

${x}^{2} + 3x - 10$

Answer 2

Answer:

x^2 + 3x + 10.

Step-by-step explanation:

(x+5)(x-2)

= x(x - 2) + 5(x - 2)

= x^2 - 2x + 5x - 10

= x^2 + 3x + 10.