draw a factor tree for each of the following expressions
4x²y-3xy³
5x³-2z²
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Step-by-step explanation:
let a , d are first term and common
difference of an a.p
i ) 4th term = 11
=> a + 3d = 11 1 )
ii ) a5 + a7 = 34
=> a + 4d + a + 6d = 34
=> 2a + 10d = 34
divide each term with 2 , we get
a + 5d = 17 2 )
subtract equation ( 1 ) from ( 2 ) , we
get
2d = 6
=> d = 6/2
=> d = 3
substitute d = 3 in equation ( 1 ), we
get
a + 3 × 3 = 11
=> a + 9 = 11
=> a = 11 - 9
=> a = 2
therefore ,
d = 3 , a = 2
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