Question

Suppose you cut a small square from a square of fabric as shown in the diagram. Write an expression for the remaining shaded area. Factor the expression

Answer 1

Would (3*3)-(x*y) be correct?

Answer 2

the piece of fabric is a square with each side = x
area of this piece before the small square was cut out = x^2
area of small square = 3*3 = 9

so what is the area of remaining piece?

Answer 3

so then 3^2 - x^2?

Answer 4

yes or 9 - x^2

Answer 5

And that is factored?

Answer 6

oops sorry - thats the wrong way raound
the x^2 is much bigger than the 3^2
its x^2 - 9

Answer 7

Ah ok, and that's factored correct?

Answer 8

No
this is the difference of 2 squares and can be factored

square root of x^2 = x and sqrt 9 = 3

do you know the formula for factoring the difference of 2 squares>

Answer 9

No

Answer 10

if the 2 terms are a and b then
a^2 - b^2 = (a + b)(a - b)

so put a = x and b = 3 and you have it

Answer 11

Ah yes I do remember that, so (x+3)(a-3)?

Answer 12

correct

Answer 13

TYVM!

Answer 14

yw