Question

Factorise (81x^2 - 126xy + 49 y ^2 ) - 25z^2​

Answer 1

Answer:

81x2-126xy+49y2

Final result :

(9x - 7y)2

Step by step solution :

Step 1 :

Equation at the end of step 1 :

((81 • (x2)) - 126xy) + 72y2

Step 2 :

Equation at the end of step 2 :

(34x2 - 126xy) + 72y2

Answer 2

Hey Pretty Stranger!

$\large \bold \red{Here \: you \: go !}$

$\sf \: (81 {x}^{2} - 126xy + 49 {y}^{2} ) - 25 {z}^{2}$

$\sf \:[ ( {9x})^{2} - 2(9x)(7y) + (7y )^{2} ] - (5z)^{2}$

$\sf \: (9x - 2y) ^{2} - (5z)^{2}$

Using Identity : a^2 - b^2

$\sf(9x - 2y - 5z)(9x - 2y + 5z)$