Monday, July 26, 2010

Review: More Faster Formula! (1)

This is the more faster formula for solving Exponent of Binomial and Quadratic of Trinomial question.

(x + y)2 = x2 + 2xy + y2

2nd Term: x times y times 2
How?
1st term is come from x times x and equal to x2
2nd term is  x times y times 2 and equal to 2xy
3rd term is y times y and equal to y2


So, another example:
(a + b)2 = a2 + 2ab + b2
(f + c)2 = f2 + 2cf + c2
(x + 2)2 = x2 + 4x + 4
(x - 2)2 = x2 - 4x + 4

(x + y + z)2 = x2 + y2 + z2 + 2xy + 2xz + 2yz

How?
This is same with the above.
The 3 first terms are square of x, y, and z
The 4th term is 2 times x times y
The 5th term is 2 times x times z
The 6th term is 2 times y times z

So, another example:
(k + l + m)2 = k2 + l2 + m2 + 2kl + 2km + 2lm
(x + y - z)2 = x2 + y2 + z2 + 2xy - 2xz + 2yz
(x - y + z)2 = x2 + y2 + z2 - 2xy + 2xz - 2yz

1 comment:

  1. wihh, whoever made this post, how can you create a circle??? *just want to know

    ReplyDelete