PLEASE HELP Answer all three of the questions below.1. Write an equivalent expression to 2 + 3 + 5 + 6 by combining like terms.2. Find the sum of (8a – 2b - 4) and (3b − 5).3.Write the expression in standard form: 4(2a) + 7(−4b) + (3 ∙ c ∙ 5).
Accepted Solution
A:
Answer:a)[tex]2 + 3 + 5 + 6 = 16[/tex]b)[tex]8a + b-9[/tex]c)[tex]8a - 28b + 15c[/tex]Step-by-step explanation:We are given the following in the question:1. Equivalent expression[tex]2 + 3 + 5 + 6[/tex]Since all the terms are like terms, we can write,[tex]2 + 3 + 5 + 6 = 16[/tex]2. Sum of given expression[tex](8a - 2b - 4) \text{ and } (3b - 5)\\ (8a - 2b - 4) + (3b -5)\\= 8a -2b -4 + 3b -5\\\text{Collecting the like terms}\\8a + (-2b+3b) + (-4-5)\\= 8a + b-9[/tex]3. Standard form of the expression [tex]4(2a) + 7(-4b) + (3 \times c \times 5)\\=(8a) + (-28b) + (15c)\\=8a - 28b + 15c[/tex]which is the required standard form of the given expression.