1. What is the brief word of LCM ? 2. If x=3 and y=6 then what is the answer of ((x^2 +2xy+y^2 )/(3x+5y×9xy)) ? 3. If a∗b= ((a×b)/(a÷b)) then what is the answer of 2∗3+7∗5−9∗6 ? 4. What is the brief word of GCD ? What is the GCD of 12,56,80 ? 5. Solve that [(1,6,7),(2,8,9),(3,(−3),(−6)) ]+ [(6,7,(12)),((−6),9,(45)),((−8),6,(−3)) ].


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Question Number 104640 by Anindita last updated on 22/Jul/20

$1 . What is the brief word of LCM ?$ $2 . If x = 3 and y = 6 then what is the$ $answer of \frac{x^{2} + 2 xy + y^{2}}{3 x + 5 y \times 9 xy} ?$ $3 . If a * b = \frac{a \times b}{a \div b} then what is the$ $answer of 2 * 3 + 7 * 5 - 9 * 6 ?$ $4 . What is the brief word of GCD ?$ $What is the GCD of 12, 56, 80 ?$ $5 . Solve that$ $[\begin{matrix} 1 & 6 & 7 \\ 2 & 8 & 9 \\ 3 & - 3 & - 6 \end{matrix}] + [\begin{matrix} 6 & 7 & 12 \\ - 6 & 9 & 45 \\ - 8 & 6 & - 3 \end{matrix}] .$
	Answered by Rasheed.Sindhi last updated on 23/Jul/20

	$1 . LCM stands for^{'} L e a s t C o m m o n$ $M u l t i p l e^{'} .$ $2 . \frac{x^{2} + 2 xy + y^{2}}{3 x + 5 y \times 9 xy} = \frac{{(3)}^{2} + 2 (3) (6) + {(6)}^{2}}{3 (3) + 5 (6) \times 9 (3) (6)}$ $= \frac{9 + 36 + 36}{9 + 30 \times 162} = \frac{81}{9 + 4860}$ $= \frac{81}{4869} = \frac{9}{541}$ $3 . 2 * 3 + 7 * 5 - 9 * 6 = \frac{2 \times 3}{2 \div 3} + \frac{7 \times 5}{7 \div 5} - \frac{9 \times 6}{9 \div 6}$ $= (2 \times 3) (\frac{3}{2}) + (7 \times 5) (\frac{5}{7}) - (9 \times 6) (\frac{6}{9})$ $= (3) (3) + (5) (5) - (6) (6) = 9 + 25 - 36$ $= - 2$ $4 . GCD s t a n d s f o r^{'} G r e a t e s t$ $C o m m o n {D i v i s o r}^{'}$
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