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Solve The Following Question.1MARKS

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17 questions · timed · auto-graded

MCQ 41 Mark
Tick $(\checkmark)$ the correct answer:
$(x+4)(x+4)=?$
  • A
    $\left(x^2+16\right)$
  • B
    $\left(x^2+4 x+16\right)$
  • $\left(x^2+8 x+16\right)$
  • D
    $\left(x^2+16 x\right)$
Answer
Correct option: C.
$\left(x^2+8 x+16\right)$
$(x+4)(x+4)$
$=x^2+(4+4) x+4 \times 4$
$=x^2+8 x+16$
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Question 81 Mark
Divide:
$24 x ^2 y ^3$
Answer
$24\text{x}^2\text{y}^2\div3\text{xy}$
$\Rightarrow\Big(\frac{24}{3}\Big)\Big(\text{x}^{2-1}\Big)\Big(\text{y}^{3-1}\Big)$
$\Rightarrow8\text{xy}^2$
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MCQ 91 Mark
Tick $(\checkmark)$ the correct answer: $(x-6)(x-6)=$ ?
  • A
    $\left(x^2-36\right)$
  • B
    $\left(x^2+36\right)$
  • C
    $\left(x^2-6 x+36\right)$
  • $\left(x^2-12 x+36\right)$
Answer
Correct option: D.
$\left(x^2-12 x+36\right)$
$(x-6)(x-6)$
$=x^2+(-6-6) x+(-6)(-6)$
$=x^2-12 x+36$
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Question 101 Mark
Divide:
$36 x y z^2$ by $-9 x z$
Answer
$36\text{xyz}^2\div-\text{9xz}$
$-\frac{36\text{xyz}^2}{-9\text{xz}}=-4\text{yz}^{2-1}=-4\text{yz}$
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Question 121 Mark
Find the following products:
$(5 x+7) \times(3 x+4)$
Answer
$(5 x+7) \times(3 x+4)$
$=5 x(3 x+4)+7(3 x+4)$
$=15 x^2+20 x+21 x+28$
$=15 x^2+41 x+28$
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MCQ 131 Mark
Tick $(\checkmark)$ the correct answer: If $(a+b)=12$ and $a b=14$, then $\left(a^2+b^2\right)=$ ?
  • A
    $172$
  • $116$
  • C
    $165$
  • D
    $126$
Answer
Correct option: B.
$116$
$a+b=12$
$a b=14$
$a^2+b^2=(a+b)^2-2 a b$
$=(12)^2-2 \times 14$
$=144-28$
$=116$
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Question 141 Mark
Find following products:
$(7 x+11 y)(7 x-11 y)$
Answer
$(7 x+11 y)(7 x-11 y)=(7 x)^2-(11 y)^2 \\
=49 x^2-121 y^2$
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Question 151 Mark
Divide:
$-56 mnp ^2$ by 7 mnp
Answer
$-56\text{mnp}^2 \div 7\text{mnp}$
$\frac{-56\text{mnp}^2}{7\text{mnp}}\div-8\text{p}^{2-1}=-8\text{p}$
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Question 171 Mark
Divide:
$-72 x^2 y^2 z \text { by }-12 x y z$
Answer
$-72\text{x}^2\text{y}^2\text{z} \div -12\text{xyz}$
$\frac{-72\text{x}^2\text{y}^2\text{z}}{-12\text{xyz}}=6\text{x}^{2-1}\text{y}^{2-1}=6\text{xy}$
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Solve The Following Question.1MARKS - Maths STD 8 Questions - Vidyadip