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ICSE Class 8 Answered

SIMPLIFY; {(3a² + a - 14)/(2a² - a -6)}÷{(6a²+5a-21)/(4a²-9)}
Asked by justjasonpong | 27 Nov, 2018, 10:20: PM
answered-by-expert Expert Answer
3a2 +a -14 = 3a2 +7a -6a -14= a(3a+7) - 2(3a+7) = (3a+7) (a-2)
 
2a2 -a -6  = 2a2 -4a +3a -6 = 2a(a-2) + 3(a-2)  = (2a+3)(a-4)
 
6a2 +5a -21 = 6a2 + 14a -9a -21 = 2a(3a+7) -3(3a+7) = (2a-3)(3a+7)
 
4a2 - 9 = (2a-3)(2a+3)
 
begin mathsize 12px style fraction numerator open parentheses 3 a squared plus a minus 14 close parentheses over denominator open parentheses 2 a squared minus a minus 6 close parentheses end fraction space divided by space fraction numerator open parentheses 6 a squared plus 5 a minus 21 close parentheses over denominator open parentheses 4 a squared minus 9 close parentheses end fraction fraction numerator open parentheses 3 a plus 7 close parentheses begin display style open parentheses a minus 2 close parentheses end style over denominator open parentheses 2 a plus 3 close parentheses begin display style open parentheses a minus 2 close parentheses end style end fraction space divided by fraction numerator open parentheses 3 a plus 7 close parentheses begin display style open parentheses 2 a minus 3 close parentheses end style over denominator open parentheses 2 a plus 3 close parentheses begin display style open parentheses 2 a minus 3 close parentheses end style end fraction fraction numerator open parentheses 3 a plus 7 close parentheses over denominator open parentheses 2 a plus 3 close parentheses end fraction space divided by space fraction numerator open parentheses 3 a plus 7 close parentheses over denominator open parentheses 2 a plus 3 close parentheses end fraction space equals space 1 end style
Answered by Thiyagarajan K | 27 Nov, 2018, 11:09: PM

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