- (a+b)
^{2}= a^{2}+ b^{2}+ 2ab

or it can also be written as:

(a+b)^{2}= (a-b)^{2}+ 4ab - (a-b)
^{2}= a^{2}+ b^{2}- 2ab

or it can also be written as:

(a-b)^{2}= (a+b)^{2}- 4ab - (a+b)
^{3}= a^{3}+ b^{3}+ 3ab(a+b) = a^{3}+ b^{3}+ 3a^{2}b + 3ab^{2} - (a-b)
^{3}= a^{3}- b^{3}- 3ab(a-b) = a^{3}- b^{3}- 3a^{2}b + 3ab^{2} - a
^{3}+ b^{3}= (a+b)^{3}- 3ab(a+b)

or it can also be written as:

a^{3}+ b^{3}= (a+b) (a^{2}-ab+b^{2}) - a
^{3}- b^{3}= (a-b)^{3}+ 3ab(a-b)

or it can also be written as:

a^{3}- b^{3}= (a-b) (a^{2}+ab+b^{2}) - a
^{2}- b^{2}= (a-b)(a+b) - a
^{m}* a^{n}= a^{m+n} - a
^{m}/ a^{n}= a^{m-n} - (a/b)
^{(m/n)}= (b/a)^{-(m/n)} - a
^{m}/ b^{-n}= a^{m}* b^{n}

- x² – 34x + 288 = 0

y² – 28y + 192 = 0

A. X > Y

B. X < Y

C. X ≥ Y

D. X ≤ Y - x² – 26x + 168 = 0

y² – 32y + 252 = 0

A. X > Y

B. X < Y

C. X ≥ Y

D. X ≤ Y - x² + 26x + 168 = 0

y² + 23y + 132 = 0

A. X > Y

B. X < Y

C. X ≥ Y

D. X ≤ Y - x² – 44x + 448 = 0

y² – 28y + 195 = 0

A. X > Y

B. X < Y

C. X ≥ Y

D. X ≤ Y

x² – 34x + 288 = 0

x = 18, 16

y² – 28y + 192 = 0

y = 12, 16

x² – 26x + 168 = 0

x = 12, 14

y² – 32y + 252 = 0

y = 14, 18

x² + 26x + 168 = 0

x = -12, -14

y² + 23y + 132 = 0

y = -12, -11

x² – 44x + 448 = 0

x = 28, 16

y² – 28y + 195 = 0

y = 13, 15

- x² – 26x + 168 = 0

y² – 34y + 285 = 0

A. X > Y

B. X < Y

C. X ≥ Y

D. X ≤ Y - x² – 38x + 352 = 0

y² – 25y + 154 = 0

A. X > Y

B. X < Y

C. X ≥ Y

D. X ≤ Y - x² = 121

y² – 46y + 529 = 0

A. X > Y

B. X < Y

C. X ≥ Y

D. X ≤ Y

x² – 26x + 168 = 0

x = 12, 14

y² – 34y + 285 = 0

y = 15, 19

x² – 38x + 352 = 0

x = 22, 16

y² – 25y + 154 = 0

y = 11, 14

x² = 121

x = 11, – 11

y² – 46y + 529 = 0

y = 23, 23

- x² + 29x + 208 = 0

y² + 19y + 78 = 0

A. X > Y

B. X < Y

C. X ≥ Y

D. X ≤ Y - x² – 41x + 400 = 0

y² – 29y + 210 = 0

A. X > Y

B. X < Y

C. X ≥ Y

D. X ≤ Y - x² – 25x + 156 = 0

y² – 32y + 255 = 0

A. X > Y

B. X < Y

C. X ≥ Y

D. X ≤ Y

x² + 29x + 208 = 0

x = -13, -16

y² + 19y + 78 = 0

y = -13, -6

x² – 41x + 400 = 0

x = 25, 16

y² – 29y + 210 = 0

y = 14, 15

x² – 25x + 156 = 0

x = 12, 13

y² – 32y + 255 = 0

y = 15, 17

Quantitative Aptitude Made Simpler

Quantitative Aptitude Made Simpler

Quantitative Aptitude Made Simpler

Quantitative Aptitude Made Simpler

Quantitative Aptitude Made Simpler

Quantitative Aptitude Made Simpler

Quantitative Aptitude Made Simpler

Quantitative Aptitude Made Simpler

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