Practice Exercises:
Monday, May 11, 2020
Square of a Binomial
The problems and examples in the video are arranged from basic to difficult
from start to finish..
Practice Exercises:
Perform the given problems.
1.) ( r + 6 ) ^2
2.) ( r - 6 ) ^ 2
3.) ( x - 5 )^2
4.) ( 4x - 8 ) ^2
5.) ( 5x + 3y ) ^2
6.) ( 7a - 5x^2 y) ^2
7.) ( 9a^2 b^2 - 5 b^2 ) ^2
8.) [ (a + 2) - 4 ] ^2
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1.(r+6)^2
=r^2+r6+r6+6^2
=r^2+2r6+6^2
2.(r-6)^2
=r^2-r6-r6+6^2
=r^2-2r6+6^2
3.(x-5)^2
=x^2-5x-5x+5^2
=x^2-10x+5^2
4.(4x-8)^2
=(4x)^2-(4x)(8)-(4x)(8)+(8)^2
=4x^2-32x-32x+16
=4x^2-64x+16
5.(5x+3y)^2
=5x^2+(5x)(3y)+(5x)(3y)+(3y)^2
=10x^2+(15xy)+(15xy)+(6y)^2
=10x^2+30xy+6y^2
6.(7a-5x^2y)^2
=(7a)^2-(7a)(5x^2y)-(7a)(5x^2y)+(5x^2y)^2
=28a^2-35x^2ay-35x^2ay+25x^4y^2
=28a^2-70x^ay+25x^4y^2
7.(9a^2b^2-5b^2)^2
=9a^2b^2-(9a^2b^2)(5b^2)-(9a^2b^2)(5b^2)+(5b^2)
=36a^2b^2-45a^22b^2-45a^22b^2+25b^2
=36a^2b^2-90a^2b^2+25b^2
8.[(a+2)+4]^2
=a^2+(2)(2)+4^2
=a^2+2a+8
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