Question

30 which expression is equivalent to \\(2a^2 + 4 - 5a + 3a^2 - 7\\)? \\(\boldsymbol{\text{\\(\text{a}\\) } 5a^2 - a - 7}\\) \\(\boldsymbol{\text{\\(\text{b}\\) } 5a^4 - a - 7}\\) \\(\boldsymbol{\text{\\(\text{c}\\) } 5a^2 - 5a - 3}\\) \\(\boldsymbol{\text{\\(\text{d}\\) } 5a^4 - 5a - 3}\\)

Explanation:

Step1: Group like terms

$2a^2 + 3a^2 -5a +4 -7$

Step2: Combine $a^2$ terms

$2a^2 + 3a^2 = 5a^2$

Step3: Combine constant terms

$4 - 7 = -3$

Step4: Assemble simplified expression

$5a^2 -5a -3$

Answer:

C. $5a^2 - 5a - 3$