Question

(3 - c 2 d)(4 - 4c 2 d)

Answer 1

Hello!

First, regroup the terms.
(3 - 2cd)(4 - 4 x 2cd)

Then, simplify 4 x 2cd to 8cd.
(3 - 2cd)(4 - 8cd)
That's your answer.

Enjoy.
~Isabella

Answer 2

(3-c2d)(4-4c2d) Final result : -4 • (3 - c2d) • (c2d - 1) Step by step solution :Step 1 :Equation at the end of step 1 : (3-((c2)•d))•(4-(22c2•d)) Step 2 :Step 3 :Pulling out like terms : 3.1 Pull out like factors :

4 - 4c2d = -4 • (c2d - 1)
Trying to factor as a Difference of Squares : 3.2 Factoring: 3 - c2d

Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2

Note : AB = BA is the commutative property of multiplication.

Note : - AB + AB equals zero and is therefore eliminated from the expression.

Check : 3 is not a square !!

Ruling : Binomial can not be factored as the
difference of two perfect squares
Trying to factor as a Difference of Squares : 3.3 Factoring: c2d - 1

Check : 1 is the square of 1
Check : c2 is the square of c1

Check : d1 is not a square !!
Ruling : Binomial can not be factored as the difference of two perfect squaresFinal result : -4 • (3 - c2d) • (c2d - 1)