Answer:
(x−3)(x+5) is the factorised form of the expression.
Step-by-step explanation:
x2+2x−15
We can Split the Middle Term of this expression to factorise it.
In this technique, if we have to factorise an expression like ax2+bx+c, we need to think of 2 numbers such that:
N1⋅N2=a⋅c=1⋅(−15)=−15
AND
N1+N2=b=2
After trying out a few numbers we get N1=5 and N2=−3
5⋅(−3)=−15, and 5+(−3)=2
x2+2x−15=x2+5x−3x−15
=x(x+5)−3(x+5)
=(x−3)(x+5) .
(x−3)(x+5) is the factorised form of the expression.
