Answer:
(a + 2b)(a - b)
Step-by-step explanation:
Assuming you require the expression to be factored
Given
a² +
ab - b² ← factor out
from each term
= (a² + ab - 2b²) ← factor the quadratic
Consider the factors of the coefficient of the b² term(- 2) which sum to give the coefficient of the ab- term (+ 1)
The factors are + 2 and - 1, since
2 × - 1 = - 2 and 2 - 1 = + 1, thus
a² + ab - 2b² = (a + 2b)(a - b) and
a² +
ab - b² =
(a + 2b)(a - b)
Answer:
(1,-5)
Step-by-step explanation:
The given system of inequalities are;
and
The point that is a solution will satisfy the two inequalities.
Checking for (1,-5)
and
: True
: True
This point lies in the solution region.
Checking for (1,5)
and
: False
: False
This point does not lie in the solution region.
Checking for (5,1)
and
: False
: True
This point does not lie in the solution region.
Checking for (-1,5)
and
: True
: False
This point does not lie in the solution region.
