Write as a product: p^2 – (2p+1)^2
(5c–3d)^2 – 9d^2
a^4 – (9b+a^2)^2
plz me quick

-(3p +1) (p + 1); 5c(5c - 6 d); -9b(9b + 2a²)

Step-by-step explanation:

p² – (2p + 1)²

= p² - (4p² + 4p + 1)

= p² -  4p²  - 4p - 1

= -3p² - 4p - 1

= -(3p² + 4p + 1)

= -(3p +1) (p + 1)

(5c – 3d)² – 9d²

= 25c² - 30cd + 9d² - 9d²

= 25c² - 30cd

= 5c(5c - 6 d)

  a⁴ – (9b + a²)²

= a⁴ - (81b² + 18a²b + a⁴)

= a⁴ -  81b² -  18a²b -  a⁴

=       -81b² -  18a²b

=       -9b(9b + 2a²)

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.