Question

factorise the following polynomials 15y^2z^3-20y^3z^4+35y^2z^2​

Answer 1

Answer:

$\mathrm{Factor}\:15y^2z^3-20y^3z^4+35y^2z^2:\quad 5y^2z^2\left(3z-4yz^2+7\right)$

Step-by-step explanation:

$15y^2z^3-20y^3z^4+35y^2z^2$

$\mathrm{Apply\:exponent\:rule}:\quad \:a^{b+c}=a^ba^c$

$y^2z^3=y^2z^2z,\:y^3z^4=y^2yz^2z^2$

$=15y^2z^2z-20y^2yz^2z^2+35y^2z^2$

$\mathrm{Rewrite\:}35\mathrm{\:as\:}7\cdot \:5$

$\mathrm{Rewrite\:}-20\mathrm{\:as\:}4\cdot \:5$

$\mathrm{Rewrite\:}15\mathrm{\:as\:}3\cdot \:5$

$=3\cdot \:5y^2z^2z+4\cdot \:5y^2yz^2z^2+7\cdot \:5y^2z^2$

$\mathrm{Factor\:out\:common\:term\:}5y^2z^2$

$=5y^2z^2\left(3z-4yz^2+7\right)$

HOPE iT hELPS You

Eva*

Answer 2

Answer:

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