1.) (X-2y)\Xb2, 2.) (2a+B)\Xb2, 3.) (2x+3y)\Xb2

1.) (x-2y)²
2.) (2a+b)²
3.) (2x+3y)²

 

Answer:

First, do the foil method or the distributive property. Next, multiply the terms then combine like terms.

(x-2y)^2

(x-2y)(x-2y)

(x)(x)+(x)(-2y)+(-2y)(x)+(-2y)(-2y)

x^2 -2xy -2xy + 4y^2

= {x}^{2} - 4xy + 4 {y}^{2}

(2a+b)^2

(2a+b)(2a+b)

(2a)(2a)+(2a)(b)+(b)(2a)+(b)(b)

4a^2+2ab+2ab+b^2

= 4 {a}^{2} + 4ab + {b}^{2}

(2x+3y)^2

(2x+3y)(2x+3y)

(2x)(2x)+(2x)(3y)+(3y)(2x)+(3y)(3y)

4x^2 + 6xy + 6xy + 9y^2

= 4{x}^{2} + 12xy + 9 {y}^{2}

#JuneChallenge


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