Question

Factorise 81p⁴-4q²-25r²+20qr​

Answer 1

Answer:

Step-by-step explanation:

STEP

1

:

Equation at the end of step 1

 (81 • (p4)) -  28q4

STEP  

2

:

Equation at the end of step

2

:

 34p4 -  28q4

STEP

3

:

Trying to factor as a Difference of Squares:

3.1      Factoring:  81p4-256q4  

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 : 256 is the square of 16

Check :  p4  is the square of  p2  

Check :  q4  is the square of  q2  

Factorization is :       (9p2 + 16q2)  •  (9p2 - 16q2)  

Trying to factor as a Difference of Squares:

3.2      Factoring:  9p2 - 16q2  

Check :  9  is the square of  3  

Check : 16 is the square of 4

Check :  p2  is the square of  p1  

Check :  q2  is the square of  q1  

Factorization is :       (3p + 4q)  •  (3p - 4q)  

Answer 2

Answer:

not under stand

the given

question