sederhanakan bentuk aljabar berikut! a.16p^2:4p b.6a^6b^2 :a^3b c.3x^2y^5:x^2y^2:xy^2 d.15p^4q^5r^3:(6p^2qr^3:2pqr) e.(2a^2bc^2+8a^3b^2c^3):2abc f.(p^3qr^2+p^2q
Matematika
Cici17112004
Pertanyaan
sederhanakan bentuk aljabar berikut!
a.16p^2:4p
b.6a^6b^2 :a^3b
c.3x^2y^5:x^2y^2:xy^2
d.15p^4q^5r^3:(6p^2qr^3:2pqr)
e.(2a^2bc^2+8a^3b^2c^3):2abc
f.(p^3qr^2+p^2q^2r^3-p^5q^3r^2):p^2qr^2
a.16p^2:4p
b.6a^6b^2 :a^3b
c.3x^2y^5:x^2y^2:xy^2
d.15p^4q^5r^3:(6p^2qr^3:2pqr)
e.(2a^2bc^2+8a^3b^2c^3):2abc
f.(p^3qr^2+p^2q^2r^3-p^5q^3r^2):p^2qr^2
1 Jawaban
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1. Jawaban cupid85
a) 16p²
-----------
4p
= (4p)(4p)
---------------
(4p)
= 4p
b) 6a^6b²
----------------
a³b
= (a³b)(6a³b)
-------------------
( a³b )
= 6a³b
c) 3x²y^5 ÷ x²y² ÷ xy²
= 3y³ ÷ xy²
= 3y³
----------
xy²
= 3y
-------
x
d) 15p⁴q^5r³ ÷ (6p²qr³ ÷ 2pqr)
= 15p⁴q^5r³ ÷ 3pr²
= 5p³q^5r
e) (2a²bc² + 8a³b²c³)
-------------------------------
( 2abc )
= (2abc)(ac + 4a²bc²)
-------------------------------
( 2abc )
= ac + 4a²bc²
= (ac)(1 + 2abc)
f) p³qr² + p²q²r³ - p^5q³r²
--------------------------------------
( p²qr² )
= (p²qr²)(p + qr - p³q²)
---------------------------------
( p²qr²)
= p + qr - p³q²