Question

expand the identities (3x-2y)³ ​

Answer 1

Answer:

27x^3 - 8y^3 - 54x^2y + 36xy^2

Answer 2

$\underline{\boxed{\bold{ \bigstar \; Question \; \bigstar }}}$  

$\; \; \; \;$

➠ Expand the identities (3x-2y)³

$\; \; \; \;$

━━━━━━━━━━━━━━━━━━━━━━━━━━━━━

$\underline{\boxed{\bold{ \bigstar \; Important \; Information \; \bigstar }}}$  

$\; \; \; \;$

❏ Algebraic identities that are frequently used in mathematics to simply our calculations and get our answer in short period of time.

$\; \; \; \;$

❏ Here are some important identities used in daily mathematics.

$\; \; \; \;$

$\star \; \; \; \; \; \; \; \; \; \; \; \; \boxed { :\longmapsto \;(a+b)^{2} = a^{2} + 2ab + b^{2} }$

$\star \; \; \; \; \; \; \; \; \; \; \; \; \boxed { :\longmapsto \;(a-b)^{2} = a^{2} - 2ab + b^{2} }$

$\; \; \; \;$

$\star \; \; \; \; \; \; \; \; \; \; \; \; \boxed { :\longmapsto \;(a+b)^{3} = a^{3} + 3a^2b + 3ab^2 + b^{3} }$

$\star \; \; \; \; \; \; \; \; \; \; \; \; \boxed { :\longmapsto \;(a-b)^{3} = a^{3} - 3a^2b + 3ab^2 - b^{3} }$

 

━━━━━━━━━━━━━━━━━━━━━━━━━━━━━

 $\; \; \; \;$

$\underline{\boxed{\bold{ \bigstar \; Answer \; \bigstar }}}$  

Let's Start !

━━━━━━━━━━━━━━━━━━━━━━━━━━━━━

By using last identity from above given identities ,

$\; \; \; \;$

$\star \; \; \; \; \; \; \; \; \; \; \; \; \; \; \boxed { :\longmapsto \;(a-b)^{3} = a^{3} - 3a^2b + 3ab^2 - b^{3} }$

$\; \; \; \;$

$:\implies \;(3x-2y)^{3} = (3x)^{3} - 3(3x)^2(2y) + 3(3x)(2y)^2 - (2y)^{3}$

$:\implies \;(3x-2y)^{3} = 27x^3 - 3(9x^2)(2y) + 3(3x)(4y^2) - 8y^{3}$

$\orange { :\implies \;(3x-2y)^{3} = 27x^3 - 54x^2y + 36xy^2 - 8y^{3} }$

$\; \; \; \;$

━━━━━━━━━━━━━━━━━━━━━━━━━━━━━

 $\; \; \; \;$

$\boxed{\boxed{\bold{\therefore \;(3x-2y)^{3} = 27x^3 - 54x^2y + 36xy^2 - 8y^{3}}}}$

 $\; \; \; \;$

━━━━━━━━━━━━━━━━━━━━━━━━━━━━━

Hope this helps u...

【Brainly Advisor】