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factor equation. answer is second picture. I do not know to get there though. step by step. f=3-2(3a)^(2) is the equation.

Factor Equation Answer Is Second Picture I Do Not Know To Get There Though Step By Step F323a2 Is The Equation class=
Factor Equation Answer Is Second Picture I Do Not Know To Get There Though Step By Step F323a2 Is The Equation class=

Sagot :

Answer:

[tex]f=-18a^2+3[/tex]

Step-by-step explanation:

Given equation:

[tex]f=3-2(3a)^2[/tex]

[tex]\textsf{Apply exponent rule} \quad (ab)^n=a^n b^n:[/tex]

[tex]\implies f=3-2(3^2a^2)[/tex]

Rewrite 3² as 9:

[tex]\implies f=3-2(9a^2)[/tex]

Remove the parentheses:

[tex]\implies f=3-2 \cdot 9a^2[/tex]

Multiply the numbers 2 · 9 = 18 :

[tex]\implies f=3-18a^2[/tex]

Rearrange to make the variable the first term:

[tex]\implies f=-18a^2+3[/tex]