Question

Will give the brainliest if answered correctly
Part A: The area of a square is (4x2 + 20x + 25) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work. (5 points)

Part B: The area of a rectangle is (4x2 − 9y2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work. (5 points)

Answer 1

@snowflake0531

Answer 2

So, let's first factor \[4x^2+20x+25\]
Looking at the coefficient of x^2, we can set the equation up to either \[(x \pm c)(4x \pm d)\] or \[(2x \pm c)(2x \pm d)\] So now we look at the value of c, in ax^2 + bx + c
Seeing that this is 25, and that this will be factored to something squared, we obviously need c and d to be 5 so we have either \[(2x \pm 5)(2x \pm 5) \] or \[ (x \pm 5)(4x \pm 5)\]

But seeing that the B value of this has to be 10x
We can use the FOIL method to see which one at the end equals \[4x^2 +20x + 25\]

and since I can't give you the answer, hope that you can find out which one it is .-.

Answer 3

For part B, you need to factor \[4x^2-9y^2\]
One suggestion is \[ (x-y)(x+y) = x^2 -y^2 \]
Hope you can figure out the answer from there