Answer :
Answer:
[tex] {x}^{2} + 3x - 10[/tex]
Step-by-step explanation:
[tex](x + 5)(x - 2)[/tex]
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:
[tex] {x}^{2} - 2x + 5x - 10[/tex]
Then combine like terms:
[tex] {x}^{2} + 3x - 10[/tex]
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.