9x⁴ +24x²y²+16y⁴ factorise
Answers
Answer:
no need.do hardwork and try do do it by your own.
Step-by-step explanation:
do yourself.
Answer:
(1): "y4" was replaced by "y^4". 1 more similar replacement(s).
STEP
1
:
Equation at the end of step 1
(81 • (x4)) - 24y4
STEP
2
:
Equation at the end of step
2
:
34x4 - 24y4
STEP
3
:
Trying to factor as a Difference of Squares
3.1 Factoring: 81x4-16y4
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 : 81 is the square of 9
Check : 16 is the square of 4
Check : x4 is the square of x2
Check : y4 is the square of y2
Factorization is : (9x2 + 4y2) • (9x2 - 4y2)
Trying to factor as a Difference of Squares:
3.2 Factoring: 9x2 - 4y2
Check : 9 is the square of 3
Check : 4 is the square of 2
Check : x2 is the square of x1
Check : y2 is the square of y1
Factorization is : (3x + 2y) • (3x - 2y)
Final result :
(9x2 + 4y2) • (3x + 2y) • (3x - 2y)