Question: Factorise:
y2 − 21y + 90
Solution:
The given expression is $y^{2}-21 y+90$.
Find two numbers that follow the conditions given below:
Sum $=-21$
Product $=90$
Clearly, the numbers are $-15$ and $-6$.
$y^{2}-21 y+90=y^{2}-15 y-6 y+90$
$=y(y-15)-6(y-15)$
$=(y-15)(y-6)$