factorise
16a^4-b^4
Answers
Answer: i hope understood
Step-by-step explanation:
24a4 - b4
STEP
2
:
Trying to factor as a Difference of Squares
2.1 Factoring: 16a4-b4
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 : 16 is the square of 4
Check : a4 is the square of a2
Check : b4 is the square of b2
Factorization is : (4a2 + b2) • (4a2 - b2)
Trying to factor as a Difference of Squares:
2.2 Factoring: 4a2 - b2
Check : 4 is the square of 2
Check : a2 is the square of a1
Check : b2 is the square of b1
Factorization is : (2a + b) • (2a - b)
Final result :
(4a2 + b2) • (2a + b) • (2a - b)
Answer:
answer in image
.
.
.
.
.
.
.
.
.......
