Question

2.
За2 - 27Ь2 what is the solution​

Answer 1

Answer:

3a2 - 27b2 = 3 • (a2 - 9b2)

Factoring: a2 - 9b2

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

Check : 9 is the square of 3

Check : a2 is the square of a1

Check : b2 is the square of b1

3 • (a + 3b) • (a - 3b)