Question

P(x), q(x)என்ற இரு பல்லுறுப்பு கோவைகளின் மீ.பொ.ம மற்றும் மீ.பொ.வ
கொடுக்கப்பட்டுள்ளன. p(x)=a^2-12a+35 q(x)=(a+2)(a-7) a^3-10a^2+11a+70 a=-2

Answer 1

Answer:

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Explanation:

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Answer 2

பல்லுறுப்பு கோவை

தீர்வு:

(i) p(x)= $a^2-12a+35$

$a^3-10a^2$ + 11a  +70 a= -2

$\left(a^{2}-12 a+35\right)(a+2)$  

$=\frac{(a+2)\left(a^{2}-12 a+35\right) \times(a-7)}{\left(a^{2}-12 a+35\right)}$

∴ q(x) = (a + 2) (a - 7)

(ii) கொடுக்கப்பட்ட = $x^2 - y^2$

= $\left(x^{2}+y^{2}\right)\left(x^{4}+x^{2} y^{2}+y^{4}\right)$  

$\begin{aligned}&=\left(x^{2}+y^{2}\right)\left(\left(x^{2}\right)^{2}+x^{2} y^{2}+\left(y^{2}\right)^{2}\right)\\&=\left(x^{2}+y^{2}\right)\left(\left(x^{2}+y^{2}\right)^{2}-(x y)^{2}\right)\end{aligned}$

மீ.பொ.ம = $(x^2 + y^2) (x^2 + xy + y^2x^2 - xy + y^2)$

$\begin{aligned}&\begin{array}{l}q(x)=\left(x^{2}\right)^{2}-\left(y^{2}\right)^{2}\left(x^{2}+x y+y^{2}\right) \\=\left(x^{2}+y^{2}\right)\left(x^{2}-y^{2}\right)\left(x^{2}+y^{2}-x y\right) \\\quad\left(x^{2}+y^{2}\right)\left(x^{2}+x y+y^{2}\right)\end{array}\\&=\frac{\left(x^{2}-x y+y^{2}\right) \times\left(x^{2}-y^{2}\right)}{\left(x^{2}+y^{2}\right)\left(x^{2}-y^{2}\right)\left(x^{2}+y^{2}-x y\right)}\\&P(x)=x^{2}+x y+y^{2}\end{aligned}$