Question

factorise a²b⁴c⁶ - 1 ​

Answer 1

Step-by-step explanation:

hope it will be helpfull

Answer 2

Answer:

Factoring: a2b4c6-1

Ans - (ab²c³+1)*(ab²c³-1)

Step-by-step explanation:

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 : 1 is the square of 1

Check : a2 is the square of a1

Check : b4 is the square of b2

Check : c6 is the square of c3

Factorization is : (ab²c³ + 1) • (ab²c³ - 1)

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