Matematika 3 ( x+2y )² = -3 ( x+1 )² =x ( x+y )² =​

artfisherulv – April 04, 2023

3 ( x+2y )² =
-3 ( x+1 )² =
x ( x+y )² =​

Jawaban:

1. 3x²+12xy+12y²

2. -3x²-6x-3

3. x³+2x²y+xy²

Jawab:

1. [tex]3x^2 + 12xy + 12y^2[/tex]

2. [tex]-3x^2 - 6x - 3[/tex]

3. [tex]x^3 + 2x^2y + xy^2[/tex]

Penjelasan dengan langkah-langkah:

1.

[tex]3(x+2y)^2 \\= 3.(x+2y)(x+2y)\\= 3.(x^2+2xy+2xy+4y^2)\\= 3x^2 + 6xy + 6xy + 12y^2\\= 3x^2 + 12xy + 12y^2[/tex]

2.

[tex]-3(x+1)^2\\= -3.(x+1)(x+1)\\= -3.(x^2+x+x+1)\\= -3x^2 - 3x - 3x -3\\= -3x^2 - 6x - 3[/tex]

3.

[tex]x(x+y)^2\\= x.(x+y)(x+y)\\= x.(x^2+xy+xy+y^2)\\= x^3 + x^2y + x^2y + xy^2\\= x^3 + 2x^2y + xy^2[/tex]

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