Lesson Learn to square binomials MENTALLY in just a MINUTE!

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this just a simple lesson.
This squaring has Two cases----(a+b)^2 and (a-b)^2

For the first case:
(a+b)^2=a^2+2ab+b^2
Example:
Find (2x+3y)^2.

Here, a=2x and b=3y.
Furthermore,
a^2=(2x)^2=4x^2
b^2=(3y)^2=9y^2
2ab=2*(2x)*(3y)=2*2*3*a*d=12xy
Thus,
2a+3d)^2=4a^2+12ad+9d^2

SECOND CASE;
(a-b)^2=a^2-2ab+b^2
example:
Find (12s-t)^2.
Here, a=12s and b=t.
Furthermore,
a^2=(12s)^2=12^2*s^2=144s^2
b^2=t^2
2ab=2*12s*t=24t
Thus,
(12s-t)^2=144s^2-24t+t^2




TEST YOURSELF!
Find:
1. (a-4r)^2
2. (3e+3w)^2
3. (5g+r)^2


you're done !

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