Question

factorise 4a^4 + 81b^4​

Answer 1

Step-by-step explanation:

factorise 4a^4 + 81b^44a^4

Answer 2

Answer:

Factoring: 4a4-81b4

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 : 81 is the square of 9

Check : a4 is the square of a2

Check : b4 is the square of b2

Factorization is : (2a2 + 9b2) • (2a2 - 9b2