Question

factories
169a^2-81b^2​

Answer 1

Answer:

${169a}^{2} - {81b}^{2}$

${(13a)}^{2} - {(9b)}^{2}$

$(13a + 9b)(13a - 9b)$

Ans. (13a + 9b)(13a - 9b)

Step-by-step explanation:

Here I have use the formula a^2 - b^2 = (a + b)(a - b)

Hope it helps.

Answer 2

Answer:

(13a + 9b) • (13a - 9b)

Step-by-step explanation:

Factoring:  169a2-81b2  

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

AB = BA is the commutative property of multiplication.

- AB + AB equals zero  

169  is the square of  13  

81 is the square of 9

a2  is the square of  a  

b2  is the square of  b1  

Factorization is :       (13a + 9b)  •  (13a - 9b)  

Final result :

 (13a + 9b) • (13a - 9b)