Question

(r) 36x2 + 12yzx - 15y2z2 factories ​

Answer 1

Answer:

$\red {36x^{2} + 12xyz - 15y^{2}z^{2}}$

$\green { 3(6x + 5yz)(2x-yz)}$

Step-by-step explanation:

$Given \: 36x^{2} + 12xyz - 15y^{2}z^{2}$

$= (6x)^{2} + 2\times 6x\times (yz) - 15y^{2}z^{2}$

$= [(6x)^{2} + 2\times 6x\times (yz)+(yz)^{2}-(yz)^{2}] - 15y^{2}z^{2}$

$= [(6x)^{2} + 2\times 6x\times (yz)+(yz)^{2}]-y^{2}z^{2} - 15y^{2}z^{2}$

$= ( 6x + yz )^{2} - 16y^{2}z^{2}$

$= ( 6x + yz )^{2} - (4yz)^{2}$

$= (6x + yz + 4yz)(6x + yz - 4yz)$

$\boxed { \pink { a^{2} - b^{2} = (a +b)(a-b) }}$

$= ( 6x + 5yz )( 6x - 3yz )$

$= 3(6x + 5yz)(2x-yz)$

Therefore.,

$\red {36x^{2} + 12xyz - 15y^{2}z^{2}}$

$\green { 3(6x + 5yz)(2x-yz)}$

•••♪

Answer 2

Answer:

bda easy question h ok bro