Marcello P

06 Oktober 2023 10:14

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Marcello P

06 Oktober 2023 10:14

Pertanyaan

Jabarkan bentuk aljabar berikut a. (a - b) ² b. (p - 4 ) ² c. (2x + 2) ² d. ( 5x - 3) ²

Jabarkan bentuk aljabar berikut

a. (a - b) ²

b. (p - 4 ) ²

c. (2x + 2) ²

d. ( 5x - 3) ²

 

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HIZKIA Z

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06 Oktober 2023 11:16

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Sumber W

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06 Oktober 2023 23:03

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<p>a. (a - b)² = (a - b)(a - b)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = a<sup>2</sup> - ab - ab + b<sup>2</sup></p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = &nbsp;a<sup>2</sup> - 2ab + b<sup>2</sup></p><p>b. (p - 4)² = (p - 4)(p - 4)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= p<sup>2</sup> - 4p - 4p + 16</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= p<sup>2</sup> - 8p + 16</p><p>c. (2x + 2)² = (2x + 2)(2x + 2)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 4x<sup>2</sup> + 4x + 4x + 4</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 4x<sup>2</sup> + 8x + 4</p><p>d. (5x - 3)² = (5x - 3)(5x - 3)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 25x<sup>2</sup> - 15x - 15x + 9</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 25x<sup>2</sup> - 30x + 9</p>

a. (a - b)² = (a - b)(a - b)

                    = a2 - ab - ab + b2

                    =  a2 - 2ab + b2

b. (p - 4)² = (p - 4)(p - 4)

                   = p2 - 4p - 4p + 16

                   = p2 - 8p + 16

c. (2x + 2)² = (2x + 2)(2x + 2)

                      = 4x2 + 4x + 4x + 4

                      = 4x2 + 8x + 4

d. (5x - 3)² = (5x - 3)(5x - 3)

                      = 25x2 - 15x - 15x + 9

                      = 25x2 - 30x + 9


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