KnowledgeBoat Logo
|

Mathematics

Expand (3x - 5y - 2z)(3x - 5y + 2z)

Expansions

13 Likes

Answer

Given,

⇒(3x−5y−2z)(3x−5y+2z)⇒9x2−15xy+6zx−15xy+25y2−10yz−6zx+10yz−4z2⇒9x2−15xy+6zx−15xy+25y2−10yz−6zx+10yz−4z2⇒9x2−30xy+25y2−4z2.⇒ (3x - 5y - 2z)(3x - 5y + 2z) \\[1em] ⇒ 9x^2 - 15xy + 6zx - 15xy + 25y^2 - 10yz - 6zx + 10yz - 4z^2 \\[1em] ⇒ 9x^2 - 15xy + \cancel{6zx} - 15xy + 25y^2 - \cancel{10yz} - \cancel{6zx} + \cancel{10yz} - 4z^2 \\[1em] ⇒ 9x^2 - 30xy + 25y^2 - 4z^2 .

Hence, (3x - 5y - 2z)(3x - 5y + 2z) = 9x2 - 30xy + 25y2 - 4z2.

Answered By

10 Likes

Related Questions