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Title : Algebraic Expression
I Want to solve this type of problem
Q:
'(A+B)(A2-AB+B2)'
Show Answer
A:
Using The Identity,
(X+Y)(X
2
- XY + Y
2
) = X
3
+ X
3
Here X=A, Y=B
= A
3
+ B
3
= A
3
+B
3
Title : Algebraic Expression
I Want to solve this type of problem
Q:
'(2X+3Y+4Z)2'
Show Answer
A:
Using The Identity,
(A + B + C)
2
= A
2
+ B
2
+ C
2
+ 2AB + 2BC + 2CA
Here A = 2X, B = 3Y, C = 4Z
= 2X
2
+ 3Y
2
+ 4Z
2
+ 2(2X)(3Y) + 2(3Y)(4Z) + 2(4Z)(2X)
= 4X
2
+9Y
2
+16Z
2
+12XY+24YZ+16XZ
Title : Algebraic Expression
I Want to solve this type of problem
Q:
'(3Y-2X)3'
Show Answer
A:
Using The Identity,
(A - B)
3
= A
3
- B
3
- 3AB(A - B)
Here A=3Y, B=2X
= 3Y
3
- 2X
3
- 3(3Y)(2X)((3Y) - (2X))
= 27Y
3
-8X
3
- 18XY(3Y - 2X)
= 27Y
3
-8X
3
+36X
2
Y-54XY
2
Title : Algebraic Expression
I Want to solve this type of problem
Q:
'102 * 106'
Show Answer
A:
Using, The Identity (X+A)(X+B) = X
2
+ (A+B)X + AB
Here X = 100, A = 2 and B = 6
102 × 106 = (100 + 2)(100 + 6)
= 100
2
+ (2 + 6)100 + 2 × 6
= 10000 + 800 + 12
= 10812
Title : Algebraic Expression
I Want to solve this type of problem
Q:
'12^3'
Show Answer
A:
Using, The Identity (A+B)
3
= A
3
+ B
3
+3AB(A+B)
Here A = 10 and B = 2
12
3
= (10 + 2)
3
= 10
3
+ 2
3
+3 × 10 × 2 (10 + 2)
= 1000 + 8 + 60(12)
= 1000 + 8 + 720
= 1728
Title : Algebraic Expression
I Want to solve this type of problem
Q:
'34^2 - 32^2'
Show Answer
A:
Using, The Indentity A
2
- B
2
= (A-B)(A+B)
Here A = 34 and B = 32
Here 34
2
- 32
2
= (34-32)(34+32)
= (2)(66)
= 132
Title : Algebraic Expression
I Want to solve this type of problem
Q:
'9^3'
Show Answer
A:
Using, The Identity (A-B)
3
= A
3
- B
3
-3AB(A-B)
Here A = 10 and B = 1
9
3
= (10 - 1)
3
= 10
3
- 1
3
-3 × 10 × 1 (10 - 1)
= 1000 - 1 - 30(9)
= 1000 - 1 - 270
= 729
Title : Algebraic Expression
I Want to solve this type of problem
Q:
'10^3 - 7^3 - 3^3'
Show Answer
A:
Here A = 10, B = -7, C = -3
Therefore, A+B+C = (10) + (-7) + (-3) = 0
If A + B + C = 0 then A
3
+ B
3
+ C
3
= 3ABC
10
3
+ -7
3
+ -3
3
= 3(10)(-7)(-3) = 630
Title : Algebraic Expression
I Want to solve this type of problem
Q:
'4^3 + 3^3'
Show Answer
A:
Using, The Indentity A
3
+ B
3
= (A+B)(A
2
-AB+B
2
)
Here A = 4 and B = 3
4
3
+ 3
3
= (4 + 3)(A
2
- 4 × 3 + B
2
)
= (7)(16 - 12 + 9)
= 7 * 13
= 91
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