Question

Expand and simplify 2(3a-5b +4 (a+2b)

Answer 1

Hey there!

2(3a - 5b) + 4(a + 2b)

= 2(3a - 5b) + 4(1a + 2b)

= 2(3a) + 2(-5b) + 4(1a) + 4(2b)

= 6a - 10b + 4a + 8b

= (6a + 4a) - (10b + 8b)

= 6a + 4a - 10b + 8b

= 10a - 2b

Therefore, your answer is: 10a - 2b

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer 2

14a + 6b

Explanation:

To expand use distributive property. a*(b +c) =a*b +a *c

Simplifying an expression

2*(3a - 5b + 4*(a+2b) = 2*(3a -5b + 4*a +4*2b)

= 2*(3a - 5b + 4a + 8b)

= 2* (3a + 4a - 5b + 8b)

Combine like terms. To combine like terms, add or subtract the coefficient of the variables. 3a and 4a & (-5b) and 8b are like terms

= 2*( 7a + 3b)

= 2*7a + 2*3b

= 14a + 6b