1. Expand `(x-6)(x+6)`
Solution:
`"Using the identity,"`
`(X+A)(X-A)=X^2-A^2`
`"Here "X=x,A=-6`
`=(x)^2-(-6)^2`
`=x^2-36`
2. Expand `(2x-5)(2x+5)`
Solution:
`"Using the identity,"`
`(X+A)(X-A)=X^2-A^2`
`"Here "X=2x,A=-5`
`=(2x)^2-(-5)^2`
`=4x^2-25`
3. Expand `(3x-2)(3x+2)`
Solution:
`"Using the identity,"`
`(X+A)(X-A)=X^2-A^2`
`"Here "X=3x,A=-2`
`=(3x)^2-(-2)^2`
`=9x^2-4`
4. Expand `(x-y)(x+y)`
Solution:
`"Using the identity,"`
`(X+A)(X-A)=X^2-A^2`
`"Here "X=x,A=-y`
`=(x)^2-(-y)^2`
`=x^2-y^2`
5. Expand `(x-2y)(x+2y)`
Solution:
`"Using the identity,"`
`(X+A)(X-A)=X^2-A^2`
`"Here "X=x,A=-2y`
`=(x)^2-(-2y)^2`
`=x^2-4y^2`
This material is intended as a summary. Use your textbook for detail explanation.
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