Use (x+a)(x+b)=x2+(a+b)x+ab find 101*102

Step-by-step explanation:

Given

Required

Find 101 * 102

Express as a sum of 100

Compare this to

We have that:

Recall that:

Substitute 100 for x, 1 for a and 2 for b

Hence:

it's equivalent, so we can say that its equal.

let's call the denominator x and the numerador is 18 less then denominator, x - 18.

multiply

2.x = 5.(x - 18)

2x = 5x - 90

90 = 5x - 2x

90 = 3x

x = 90/3

x = 30

so: