Can you factor 4c^8 + 9d^2

4c2-9d2 Final result : (2c + 3d) • (2c - 3d) Step by step solution : Step 1 : Skip Ad

Equation at the end of step 1 : (4 • (c2)) - 32d2 Step 2 : Equation at the end of step 2 : 22c2 - 32d2 Step 3 : Trying to factor as a Difference of Squares:

3.1 Factoring: 4c2-9d2

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 : 4 is the square of 2

Check : 9 is the square of 3

Check : c2 is the square of c1

Check : d2 is the square of d1

Factorization is : (2c + 3d) • (2c - 3d)

Final result : (2c + 3d) • (2c - 3d)

Processing ends successfully