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Maths Solve The Following Question.1MARKS

Factorisation · Maharashtra Board STD 8 (MSBSHSE - English Medium). 20 questions.

Questions

Solve The Following Question.1MARKS

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20 questions · 1 auto-graded MCQ + 19 self-marked written.

Question 11 Mark
Factorise:
$x^3(2 a-b)+x^2(2 a-b)$
Answer
$x ^3(2 a - b )+ x ^2(2 a - b )$
$x^3(2 a-b)+x^2(2 a-b)$
$=(2 a-b)(x+1)$
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Question 41 Mark
Factorise:
$-5-10 t+20 t^2$
Answer
$-5-10 t+20 t^2$
$=-5\left(1+2 t-4 t^2\right)(\text { HCF of } 5,10,20=5)$
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Question 61 Mark
Factorise:
$9 x^3-6 x^2+12 x$
Answer
$9 x^3-6 x^2+12 x$
$=3 x\left(3 x^2-2 x+4\right)(\text { HCF of } 9,6,12=3)$
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Question 71 Mark
Factorise:
$36 x^3 y-60 x^2 y^2 z$
Answer
$36 x^3 y-60 x^2 y^2 z=12 x^2 y\left(3 x-5 y^2 z\right)($ HCF of 36 and $60=12)$
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Question 91 Mark
Factorise:
$14 x^3+21 x^4 y-28 x^2 y^2$
Answer
$14 x^3+21 x^4 y-28 x^2 y^2$
$=14 x^2\left(2 x+3 x^2 y-4 y^2\right)(\text { HCF of } 14,21,28=7)$
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Question 121 Mark
Factorise:
$12 x^2 y^3-21 x^3 y^2$
Answer
$12 x^2 y^3-21 x^3 y^2=3 x^2 y^2(4 y-7 x)($ HCF of 12 and $21=3)$
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Question 141 Mark
Factorise:
$18 a^3 b^3-27 a^2 b^3+36 a^3 b^2$
Answer
$18 a^3 b^3-27 a^2 b^3+36 a^3 b^2$
$=18 a^2 b^2(2 a b-3 b+4 a)(\text { HCF of } 10,27,36=9)$
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MCQ 191 Mark
Tick $(\checkmark)$ the correct answer: $6 a^2-13 a+6=?$
  • A
    $(2 a+3)(3 a-2)$
  • B
    $(2 a-3)(3 a+2)$
  • ✓
    $(3 a-2)(2 a-3)$
  • D
    $(3 a+1)(2 a-3)$
Answer
Correct option: C.
$(3 a-2)(2 a-3)$
$6 a^2-13 a+6$
$\{36=6 \times 6,36=(-9) \times(-4),-13=-9-4\}$
$=3 a(2 a-3)-2(2 a-3)$
$=(3 a-2)(2 a-3)$
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