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[3 marks sum]

Question 663 Marks
Factorise $\left(x^4+x^2 y^2+y^4\right)$
[Hint. Given Exp. $=\left(x^4+2 x^2 y^2+y^4\right)-\left(x^2 y^2\right)=\left(x^2+y^2\right)^2-(x y)^2$.
Answer
$\left(x^2+y^2+x y\right)\left(x^2+y^2-x y\right)$
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Question 673 Marks
Express $\left(x^2+8 x-15\right)\left(x^2-8 x-15\right)$ as the difference of two squares.
Answer
$\left(x^2-15\right)^2-(8 x)^2$
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[3 marks sum] - Page 2 - MATHEMATICS STD 9 Questions - Vidyadip