subtract 2(p-q) form3(5p-q+3)
a)17p-q-9
b)13p-q+9
c)17p-5q+9
d)13p+q-9
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Answer:
3(5p-q+3) - 2(p-q)
15p-3q+9-2p+2q
15p-2p-3q+2q+9
13p-q+9 (b)
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ANSWER
(d) 13p - q + 9 ✔
EXPLANATION
Subtract 2(p - q) form 3(5p - q + 3)
⇛ 3( 5p - q + 3 ) - 2(p - q )
By using distributive property
⇛ 3(5p) + 3(-q) + 3(3) - 2(p - q )
⇛ 15p - 3q + 9 - 2(p - q )
⇛ 15p - 3q + 9 - 2(p) - 2( -q )
⇛ 15p - 3q + 9 - 2p + 2q
Combining like terms
⇛ (15 - 2)p + ( -3 + 2)q + 9
⇛ 13p + ( -1 )q + 9
⇛ 13p - q + 9
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