Expand Perfect Squares of binomial Examples

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Expand Perfect Squares of binomial Examples ( Enter your problem )

( Enter your problem )

Examples

Other related methods

Formula
FOIL Method Examples
Expand Difference of Squares Examples
Expand Perfect Squares of binomial Examples
Expand Cubes Examples
Expand Trinomials Examples
Expand Perfect Squares of trinomial Examples
Binomial expansion Examples

3. Expand Difference of Squares Examples
(Previous method)

5. Expand Cubes Examples
(Next method)

1. Examples

1. Expand `(x+2)^2`

Solution:
`"Using the identity,"`

`(A+B)^2=A^2+2AB+B^2`

`"Here "A=x,B=2`

`=(x)^2+2(x)(2)+(2)^2`

`=x^2+4x+4`

2. Expand `(x-3)^2`

Solution:
`"Using the identity,"`

`(A-B)^2=A^2-2AB+B^2`

`"Here "A=x,B=3`

`=(x)^2-2(x)(3)+(3)^2`

`=x^2-6x+9`

3. Expand `(2x-5)^2`

Solution:
`"Using the identity,"`

`(A-B)^2=A^2-2AB+B^2`

`"Here "A=2x,B=5`

`=(2x)^2-2(2x)(5)+(5)^2`

`=4x^2-20x+25`

4. Expand `(3x+2)^2`

Solution:
`"Using the identity,"`

`(A+B)^2=A^2+2AB+B^2`

`"Here "A=3x,B=2`

`=(3x)^2+2(3x)(2)+(2)^2`

`=9x^2+12x+4`

5. Expand `(x+2y)^2`

Solution:
`"Using the identity,"`

`(A+B)^2=A^2+2AB+B^2`

`"Here "A=x,B=2y`

`=(x)^2+2(x)(2y)+(2y)^2`

`=x^2+4xy+4y^2`

6. Expand `(3x-2y)^2`

Solution:
`"Using the identity,"`

`(A-B)^2=A^2-2AB+B^2`

`"Here "A=3x,B=2y`

`=(3x)^2-2(3x)(2y)+(2y)^2`

`=9x^2-12xy+4y^2`

This material is intended as a summary. Use your textbook for detail explanation.
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