Question
If 512x3 - y3 = (8x - Ay) X
(Bx2 + y2 + Cxy), then find the value of 3 X (2A + 6B) - 2C.Solution
512x3 - y3 = (8x - Ay) X (Bx2 + y2 + Cxy) We know that, a3 - b3 = (a - b) X (a2 + b2 + ab) So, 512x3 - y3 = (8x)3 - (1y)3 = (8x - y) X (64x2 + y2 + 8x X y) = (8x - y) X (64x2 + y2 + 8xy) So, (8x - Ay) X (Bx2 + y2 + Cxy)= (8x - y) X (64x2 + y2 + 8xy) On comparing coefficients of LHS and RHS, we get, A = 1, B = 64, and C = 8 So, 3 X (2A + 6B) - 2C = 3 X {2 X 1 + 6 X 64} - 2 X 8 = 3 X (2 + 384) - 16 = 3 X 386 - 16 = 1158 - 16 = 1142
120.982-√675×5+1422.20÷9.02=?
? + 151.99 – 100.01 = 23.01 × 4.98
The average of 5 positive integers was initially computed as 30. However, it was discovered later that an error had occurred duri...
(? + 11.86) X 14.89 = 19.89% of 2399.89
9214.39 - 6843.57 + 8435.22 + ? = 17620.47
(56.03 + 112.98) ÷ 13.211 = 89.9 – 25.23% of ?
What approximate value will come in place of the question mark (?) in the following question? (Note: You are not expected to calculate the exact value.)...
³√? × 33.97 + 59.99 × 28.9 – 48.98 × 21.42 = 1085.344
What will come in the place of question mark (?) in the given expression?
?2 = {40% of (552 – 352 )} – 44
12.052 + 36.15 × 25.45 – 124.15 × 15.05 = ? × 8.08 – 64.32 × 15.98
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