Question

7. Factorize the following algebraic
expressions by splitting the
(i) x² 21x+1o8

​

Answer 1

x^2+21x+108

x2+12x+9x+108

x(x+12)+9(x+12)

=(x+12)(x+9)

Answer 2

Step-by-step explanation:

${x}^{2} - 21x + 108$

${x}^{2} - 12x - 9x + 108 = 0$

x(x-12)-9(x-12)=0

$(x - 12)(x - 9) = 0$

x=12 or 9