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4×316=1264-316=948 +64
Answered by
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let two positive numbers x and y
difference between numbers= x-y= 4
difference between cubes= x3- y3= 316
x3-y3= (x-y)(x2+ xy+ y2)= 316
(x2+ xy+ y2)= 316/4= 79
x= 4+y
(4+y)2+(4+y)y+y2=79
y2+4y-21=0
(y-3)(y+7)=0
y=3, -7
x= 7, -3
product of xy= 3x7 or -3x -7= 21
square addition= (3)2+(7)2= (-3)2+(-7)2= 58 Ans
difference between numbers= x-y= 4
difference between cubes= x3- y3= 316
x3-y3= (x-y)(x2+ xy+ y2)= 316
(x2+ xy+ y2)= 316/4= 79
x= 4+y
(4+y)2+(4+y)y+y2=79
y2+4y-21=0
(y-3)(y+7)=0
y=3, -7
x= 7, -3
product of xy= 3x7 or -3x -7= 21
square addition= (3)2+(7)2= (-3)2+(-7)2= 58 Ans
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