Sederhanakanlah bentuk-bentuk aljabar berikut. a. 8p – 3 + (–3p) + 8 b. 9m + 4mn + (–12m) – 7mn c. 2a2 + 3ab – 7 – 5a2 + 2ab – 4 d. 4x2 – 3xy + 7y – 5x2 + 2xy –
Matematika
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Pertanyaan
Sederhanakanlah bentuk-bentuk aljabar berikut.
a. 8p – 3 + (–3p) + 8
b. 9m + 4mn + (–12m) – 7mn
c. 2a2 + 3ab – 7 – 5a2 + 2ab – 4
d. 4x2 – 3xy + 7y – 5x2 + 2xy – 4y
e. –4p2 + 3pq – 2 – 6p2 + 8pq – 3
f. 12kl – 20mn –5kl – 3mn
a. 8p – 3 + (–3p) + 8
b. 9m + 4mn + (–12m) – 7mn
c. 2a2 + 3ab – 7 – 5a2 + 2ab – 4
d. 4x2 – 3xy + 7y – 5x2 + 2xy – 4y
e. –4p2 + 3pq – 2 – 6p2 + 8pq – 3
f. 12kl – 20mn –5kl – 3mn
2 Jawaban
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1. Jawaban Sarahnella
a. 8p – 3 + (–3p) + 8
=(8-3)p -3 +8
=5p + 5
b. 9m + 4mn + (–12m) – 7mn
=(9-12)m + (4-7)mn
= -3m -3mn
= -3m( 1 + n)
c. 2a2 + 3ab – 7 – 5a2 + 2ab – 4
=(2-5)a2 +(3+5)ab -7 -4
= -3a2 +8ab -11
d. 4x2 – 3xy + 7y – 5x2 + 2xy – 4y
=(4-5)x2 + (-3+2)xy + (7-4)y
= -x2 -xy +3y
e. –4p2 + 3pq – 2 – 6p2 + 8pq – 3
= -10p2 + 11pq -5
f. 12kl – 20mn –5kl – 3mn
= 7kl -23mn
semoga membantu -
2. Jawaban judan10
jawab :
a) 8p - 3 +(-3p) + 8
= 8p - 3 - 3p + 8
= 8p - 3p - 3 + 8
= 5p + 5
b) 9m + 4mn +(-12m) -7mn
= 9m + 4mn - 12m - 7 mn
= 9m - 12 m + 4mn - 7mn
= - 3m - 3mn
atau
= 3m(-1 -n)
c) 2a² + 3ab -7-5a² + 2ab - 4
= 2a² - 5a² + 3ab + 2ab -7-4
= - 3a² + 5ab - 11
d) 4x²-3xy + 7y -5x² + 2xy -4y
= 4x² - 5x² - 3xy + 2xy +7y -4y
= - x² - xy + 3y
e) -4p² + 3pq - 2- 6p² + 8pq - 3
= -4p² - 6p² +3pq +8pq - 2 - 3
= - 10p² + 11pq - 5
f) 12kl - 20mn - 5kl - 3mn
= 12kl - 5kl - 20mn - 3mn
= 7kl - 23mn
semoga membantu......
good luck ^_^