Question

Algebraic Simplification

Solve
1. (5a- 6b) + (4a +8b)
2.pqr+pqr-2qrs+5qrs-3pqr
(Need step by step explanation)

Answer 1

1. (5a-6b) + (4a+8b)

= (5a + 4a) + (8b - 6b)

=9a + 2b

2. pqr+pqr-2qrs+5qrs-3pqr

= 2pqr-3qrs-3pqr

= -3qrs-pqr

Explanation:

have a great day

Answer 2

`\boxed{ \tt{1. \: \: 9a + 2b}}`

`\boxed{ \tt{2. \: \: 2pqr + 3qrs - 3pqr}}`

Explanation:

`\tt{1. \: \: (5a - 6b) + (4a + 8b)}`

Remove the unnecessary parentheses :

⇾
`\tt{5a - 6b + 4a + 8b}`

Combine like terms. Like terms are those which have the same base { For instance : In the term 4a , a is the base }. Also remember that : Only coefficients of like terms can be added or subtracted.

⇾
`\tt{5a + 4a - 6b + 8b}`

⇾
`\tt{9a + 2b}`

`\tt{2. \: \: pqr + pqr - 2qrs + 5qrs - 3pqr}`

Combine like terms :

⇾
`\tt{2pqr + 3qrs - 3pqr}`

Hope I helped ! ♡

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