Question

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Answer 1

Jawab:

Penjelasan dengan langkah-langkah:

1. 5x² - 3x + 7 - 2x² - x - 9 =

(5 - 2)x² - (3 + 1)x + 7 - 9 =

3x² - 4x - 2 (B)

2. (x² - 2xy - y²) - (x² - xy + 2y²) =

x² - 2xy - y² - x² + xy - 2y² =

(1 - 1)x² - (2 - 1)xy - (1 + 2)y² =

-xy - 3y² = -3y² - xy (D)

3. 2(2x² - xy + y²) - 3(x² - 2xy + y²) =

4x² - 2xy + 2y² - 3x² + 6xy - 3y² =

(4 - 3)x² - (2 - 6)xy + (2 - 3)y² =

x² + 4xy - y²

4. 3(2x² - 2xy + y²) - (-2(x² + 2xy - y²)) =

6x² - 6xy + 3y² + 2x² + 4xy - 2y² =

(6 + 2)x² - (6 - 4)xy + (3 - 2)y² =

8x² - 2xy + y²

5. (2x - y) (3x + 2y) = (2x - y)(3x) + (2x - y)(2y)

= 6x² - 3xy + 4xy - 2y²

= 6x² - (3 - 4)xy - 2y²

= 6x² + xy - 2y²