Algebra 1 Help???

Question

Factor each polynomial, if possible. If the polynomial cannot be factored, write prime.
1. (4p-9q)squared -1
2. 25xsquared - (2y-7z)squared

Answer 1

Question 1
(4p - 9 q)² - 1
= [(4p - 9q) - 1].[(4p - 9q) + 1]
= [4p - 9q - 1].[4p - 9q + 1]

Question 2
(5x)² - (2x - 7z)²
[(5x) - (2x - 7z)].[5x + (2x - 7z)]
(3x + 7z).(7x - 7z)
7.(3x + 7z).(x - z)

Answer 2

These are both differences of two squares. The basic factoring of DTSs is x^2 - y^2 = (x+y)(x-y). So...

1. (4p-9q+1)(4p-9q-1)
2. [5x + (2y - 7z)][5x - (2y - 7z)]
which simplifies to (5x + 2y - 7z)(5x - 2y + 7z)

Answer 3

1.
(4p-9q)^2 - 1
= (4p-9q+1)(4p-9q-1)

2.
(25x)^2 - (2y-7z)^2
= [25x+(2y-7z)][25x-(2y-7z)]
= [25x+2y-7z][25x-2y+7z]

Please note that a^2 - b^2 = (a+b)(a-b)

Answer 4

Hi
This looks like a HW exercise so I am not going to do it for you.

It is based on the idea.......

whatsit squared - thingamy squared = (whatsit - thingamy)(whatsit + thingamy)

you just have to identify the terms, for example

(abc) squared - (def) squared = (abc - def)(abc + def)

Try your own questions on it

Answer 5

yea what grade r u in? i dont think i can help u because im in 8th grade pre-algebra so yea im in the dumb class