Questions

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20 questions · timed · auto-graded

Question 11 Mark
factorise$x^2y - xy^2 + 5x - 5y$
Answer
$x^2y - xy^2 + 5x - 5y$
$= xy (x - y) + 5 (x - y)$
$= (x - y) (xy + 5)$
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Question 21 Mark
factorise : $a^2 - ab - 3a + 3b$
Answer
$a^2 - ab - 3a + 3b$
$= a (a - b) - 3 (a - b)$
$= (a - b) (a - 3)$
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Question 31 Mark
Factorise : $36x^2y^2 - 30x^3y^3 + 48x^3y^2$
Answer
$36x^2y^2 - 30x^3y^3 + 48x^3y^{2}$
$= 6x^2y^2 (6 - 5xy + 8x)$
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Question 81 Mark
Factorise : $17a^6b^8 - 34a^4b^6 + 51a^2b^4$
Answer
$17a^6b^8 - 34a^4b^6 + 51a^2b^4$
$= 17a^2b^4 (a^4b^4 - 2a^2b^2 + 3)$
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Question 171 Mark
Factorise : $12abc - 6a^2b^2c^2 + 3a^3b^3c^3$
Answer
$12abc - 6a^2b^2c^2 + 3a^3b^3c^3 = 3abc (4 - 2abc + a^2b^2c^2)$
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Question 191 Mark
Factorise : $x^2(a-b)-y^2 (a-b)+z^2(a-b)$
Answer
$x^2(a-b)-y^2 (a-b)+z^2(a-b) $
$= (a - b)(x^2 - y^2 + z^2)$
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[1 Mark Question Answer] - MATHS STD 8 Questions - Vidyadip