1) Prove that if PQ=C and P+Q=B then:
a) X² + bx + c = (x+p)(x+q)
b) X² - bx - c = (x-p)(x+q)
And after answering it can you please explain the procedure :/ Thank you
You try the second one.
By the way, it is a bad idea to use capital letters and small letters to mean the same thing "P" and "p" are different symbols and imply possibly different values.
Of course you can factorize the LHS and show that you have reached the RHS:
This is a difference of squares which can be factored to: