Question

find the factor of 16x2-81y2​

Answer 1

Answer:

16,2,81,y,2 is  the factor of 16x2-81y2​

Answer 2

Answer:

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 : 16 is the square of 4

Check : 81 is the square of 9

Check : x2 is the square of x1

Check : y2 is the square of y1

Factorization is : (4x + 9y) • (4x - 9y)

Final result :

(4x + 9y) • (4x - 9y)