Bentuk sederhana dari operasi hitung aljabar berikut :

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• (5xy + 3)(2xy – 2)
• -6xy(5 – 5y)
• (y³ + 2)(y⁵ – 3)

Bentuk sederhana dari operasi hitung aljabar berikut :

Penjelasan dengan langkah-langkah:

A.

(5xy + 3) (2xy-2)

10x²y² – 10xy + 6xy – 6

10x²y² – 4xy – 6

B.

-6xy (5-5y)

-6xy.5-6xy.(-5y)

-30xy-6xy.(-5y)

-30xy + 30xy²

C.

(y³ + 2) (y⁵ – 3)

y³.y⁵-3y³+2y⁵-2.3

y⁸.-3y³+2y⁵-6

⇔Jawab

– 10x²y² – 4xy – 6

– 30xy² – 30 xy

– y⁸ – 3y³ + 2y⁵ – 6

~

⇔Penyelesaian

  • (5xy + 3)(2xy – 2)

(5xy × 2xy) + (5xy × (-2)) + (3 × 2xy) + (3 × (-2))

10x²y² + (-10xy) + (6xy) + (-6)

10x²y² – 10xy + 6xy – 6

10x²y² – 4xy – 6

~

  • -6xy (5 – 5y)

(-6xy × 5) + (-6xy × (-5y))

-30xy + 30xy²

30xy² – 30 xy

~

  • (y³ + 2)(y⁵ – 3)

(y³ × y⁵) + (y³ × (-3)) + (2 × y⁵) + (2 × (-3))

y³⁺⁵ + (-3y³) + (2y⁵) + (-6)

y⁸ – 3y³ + 2y⁵ – 6