The Difference of Square: a^2 - b^2 = (a + b)(a - b) Sara did a question as: 2x^2 - 2y^2 = (2x + 2y)(2x - 2y).

What's wrong with Sara's work? How to fix it?

Step-by-step explanation:

Given

Difference of two squares:

Sara Solution to a question:

Required

State what's wrong with Sara's work

How to fix it

In Sara's solution, the coefficient of x and y is 2. Sara's solution is wrong because she included the coefficients of x and y when converting the expression to difference of two squares.

To fix this, the very first thing that needs to done is to factorize the given expression (as follows)

Then the difference of two squares can be applied on the expression in bracket. This gives

step-by-step explanation:

let's assume

number of candles set =x

price of of x candles =p(x)

we are given

a candle maker prices one set of scented candles at $10 and sells an average of 200 sets each week

so, we get point as (200,10)

he finds that when he reduces the price by $1, he then sells 50 more candle sets each week

so, we can find slope

now, we can use point slope form of line

now, we can plug values

we can use point

and find b

now, we can plug it back

and we get

now, we can find revenue

we know that

revenue = price*quantity

so, we get

  answer:

  write 548 as 500 + 40 + 8. multiply each addend by 5. then add the three products to get 2,740.