Cluster · Algebraic Identities and Formulas

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Clusters / #1146
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Algebraic Identities and Symmetric Expressions
Questions
322
Questions in this cluster
320 total
Question Category Subtype Difficulty

If a - b = 3 and a3 - b3 = 999, then Find the value of a2 - b2.

pipeline-1042344
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If (a + b)2 = 196 and ab = 12, then find the value of 2(a3 + b3). 

pipeline-852673
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If a –  b = p, ab = q, then (a4 + b4) is equal to:

pipeline-1370586
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If 10x- 6xy + y- 4x + 4 = 0, then find the value of (x + 2y).

pipeline-1143975
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If a3 + b3 +c3-3abc = 250 and a + b + c=10, then what will be the value of (1/5)(ab + bc + ca)?

pipeline-1168583
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If x2 + y2 = 45 and x - y = 5, then what is the value of x3 - y3?

pipeline-1188913
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If a2 + b2 = 72 and a - b = 6, find the value of a3 - b3.

pipeline-1153870
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If a2 + b2 + c2 + 170 = 2(8a + 5b - 9c), then the value of \(\sqrt{4a+8b-c}\) will be

pipeline-1153828
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If a + b + c = 13 and ab + bc + ca = 45, find a2 + b2 + c2.

pipeline-1114335
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Find the value of (a3 + b3+ c- 3abc), where a = 335, b= 215 and c = 180.

pipeline-1130444
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If a + b + c = 6 and a2 + b2 + c2 = 14, then what is the value of (a - b)2 + (b − c)2 + (c- a)2?

pipeline-1066421
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If a + b + c = 7 and a3 + b3 + c3 - 3abc = 301, then ab + bc + ca = ?

pipeline-1092424
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If a2 + b2 + c= ab + bc + ac, then the value of \(\frac{11 a^4+13 b^4 + 17 c^4}{17 a²b+9bc² + 15 c²a}\) is.

pipeline-1102916
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If x3 – y3 = 456 and x – y = 6. Find the value of (x + y)2 – xy.

pipeline-1054776
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If a+ b2 + 49c2 + 18 = 2(b - 28c - a), then the value of (a - b - 7c) is:

pipeline-1044487
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a + b = 5, ab = 3 then what is the value of a - b?

pipeline-1046064
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If a2 - b2 = 72 & ab = 27, find \(\frac{b}{a} - \frac{a}{b}\).

pipeline-1026543
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If a + b + c = 12 and ab + bc + ca = 40, then what is the value of a2 + b2 + c2?

pipeline-1657
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If (a + b + c) = 48, (a - b) = 4 , (b - c) = 6, (c - a) = 5 and (a3 + b3 + c3) = 2478 then, find the value abc/3.

pipeline-1039361
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If 4x2 + y2 = 40 and xy = 6, then find the value of 2x + y.

pipeline-1042371
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