1. Sederhanakanlah bentuk aljabar berikut :
a. 9p²+12pq-15pq-7p²
b. 8xy-2yz +7 xz - 3xy-10yz-4 xz![]()
a. 9p²+12pq-15pq-7p²
b. 8xy-2yz +7 xz - 3xy-10yz-4 xz
Yang A.
[tex]9 {p}^{2} + 12pq - 15pq - 7 {p}^{2} \\ = (9 {p}^{2} - 7 {p}^{2} ) + (12pq - 15pq) \\ = 2 {p}^{2} + ( - 3pq) \\ = 2 {p}^{2} - 3pq[/tex]
Yang B.
[tex]8xy - 2yz + 7xz - 3xy - 10yz - 4xz \\ = (8xy - 3xy) - (2yz - 10yz) + (7xz - 4xz) \\ = 5xy - ( - 8yz) + 3xz \\ = 5xy + 8yz + 3xz[/tex]
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a. 9p² + 12pq - 15pq - 7p²
= (9p² - 7p²)(12pq - 15pq)
= (9 - 7)p²(12 - 15)pq
= 2p² + (-3)pq
= 2p² - 3pq
b. 8xy - 2yz + 7xz - 3xy - 10yz - 4xz
= (8xy - 3xy)(2yz - 10yz)(7xz - 4xz)
= (8 - 3)xy - (2 - 10)yz + (7 - 4)xz
= 5xy - (-8)yz + 3xz
= 5xy + 8yz + 3xz
[answer.2.content]
