Question

using identities evaluate:
a) 1.05×9.5

Answer 1

1.05×9.5=[1+0.05][1+(-0.5)]

(x+a)(x+b)=x²+x(a+b)+ab
x=1
a=0.05
b=0.5

[1+0.05][1+(-0.5)]=1²+1(0.05+0.5)+(0.05)(0.5)
=1+0.55+0.025
=1.575

Answer 2

the answer to this question is1.575