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Question

(5c–3d)^2–9d^2

(5c–3d)²–9d²

Answer 1

This is a difference in perfect squares.  In fact all of your questions are difference in perfect squares.  Please learn the material.

 

When you have an expression such that

 

aⁿ - b^m

 

where   n and m are even, the factored form is

 

(a - b)(a + b)

 

 

Applying this method to the actual question, we get

 

[(5c - 3d) - 3d][(5c - 3d) + 3d] =

 

5c(5c - 6d)