Question

a^4b^4 -81c^4 please solve this​

Answer 1

Step-by-step explanation:

STEP

1

:

Equation at the end of step 1

(a4) - 22b4

STEP

2

:

Trying to factor as a Difference of Squares:

2.1 Factoring: a4-4b4

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 : a4 is the square of a2

Check : b4 is the square of b2

Factorization is : (a2 + 2b2) • (a2 - 2b2)