Question

Factorise 365y^4z^3 -146y^2z^4​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

$365y^4z^3-146y^2z^4 = 73y^2z^3\left(5y^2-2z\right)$

Solution:

Given that,

We have to factorize:

$365y^4z^3-146y^2z^4\\\\\mathrm{Apply\:exponent\:rule}:\quad \:a^{b+c}=a^ba^c\\\\y^2z^4=y^2z^3z,\:y^4z^3=y^2y^2z^3\\\\Therefore\\\\365y^2y^2z^3-146y^2z^3z\\\\\mathrm{Rewrite\:}-146\mathrm{\:as\:}2\cdot \:73\\\\\mathrm{Rewrite\:}365\mathrm{\:as\:}5\cdot \:73\\\\Therefore\\\\5\cdot \:73y^2y^2z^3+2\cdot \:73y^2z^3z\\\\\mathrm{Factor\:out\:common\:term\:}73y^2z^3\\\\73y^2z^3\left(5y^2-2z\right)$

Thus the given expression is factored

Learn more:

(x-5)²-(5x-25)-24, Factorize the given polynomial.

https://brainly.in/question/4594371

Factorize (256x^16 - 1)

https://brainly.in/question/2318326