Question

Evaluate 105 × 93 with out direct multiplication.​

Answer 1

Answer:

105×9

(100+5)(100-7)

(x+a)(x+b)=x^2+x(a+b)+ab..........(1)

->> Here,

x=100

a=5

b= (-7)

Substituting these values in Equation (1), we get:

(100+5)(100-7)=

100^2+100(5-7)+5(-7)

10000+100(-2) -35

10000-200-35

9765 (Ans.)