1 ) 4a/3x – 4/2x
2 ) 2a/3x × 2x-6/12a
3 ) xy /z÷x/yz
Operasikan lalu serderhanakan aljabar berikut
Jawab:
Penjelasan dengan langkah-langkah:
1) 4a/3x – 4/2x
= (4a × 2)/(3x × 2) – (4 × 3)/(2x × 3)
= 8a/6x – 12/6x
= 8a-12/6x
2) 2a/3x × 2x-6/12
= 2a(2x – 6)/(3x × 12)
= 2a(2x – 6)/36x
= 4ax-12a/36x
= ax-12a/36
= ax-3a/9
3) xy/z ÷ x/yz
= x¹y¹/z¹ ÷ x¹/y¹z¹
= x¹y¹/z¹ × y¹z¹/x¹
= x¹y^(1 + 1)z¹/z¹x¹
= x¹y²z¹/z¹x¹
= y²