Mathematics: Simplify: 3(a+b)-2(2a-b)+4a-7a

Yes Explanation:Two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure....

Simplify: 3(a+b)-2(2a-b)+4a-7a - id322477221928, gonzalesrosalinda66

sophiaa23

31.01.2022

Answer

$\boxed{ \boxed{ \bold{ \red{ - 4a + 5b}}}}$

Step by step explanation

$\sf3(a + b) - 2(2a - b) + 4a - 7a$

Distribute 3 through the parentheses

⇒ $\sf3a + 3b - 2(2a - b) + 4a - 7a$

Distribute 2 through the parentheses

⇒ $\sf3a + 3b - 4a + 2b + 4a - 7a$

Collect like terms

⇒ $\sf3a +4a - 4a - 7a + 3b + 2b$

Since , two opposites add up to zero, remove them from the expression

⇒ $\sf3a - 7a + 3b + 2b$

⇒ $\sf - 4a + 5b$

Hope I helped!

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