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Question 1 of 5 Which is equivalent to (3t – 9) • (5+3 – 15 42 +19)? A 15t4 – 45+3 + 15t2 + 577 – 171 B 15t4 50+3 + 15t2 + 577 + 171 C 15t4 – 50+3 – 15t2 +57t – 171 D 15t4 50+3 + 15+2 +57t – 171

Question 1 of 5 Which is equivalent to 3t 9 53 15 42 19 A 15t4 453 15t2 577 171 B 15t4 503 15t2 577 171 C 15t4 503 15t2 57t 171 D 15t4 503 152 57t 171 class=

Respuesta :

Answer:

D

[tex]15t^4-50t^3+15t^2+57t-171[/tex]

Explanation:

Given the below expression;

[tex](3t-9)\ast(5t^3-\frac{15}{9}t^2+19)[/tex]

Let's go ahead and clear the brackets by using each of the terms in the first bracket to multiply all of the terms in the 2nd bracket;

[tex](3t\ast5t^3)-(3t\ast\frac{15}{9}t^2)+(3t\ast19)-(9\ast5t^3)+(9\ast\frac{15}{9}t^2)-(19\ast9)[/tex][tex]\begin{gathered} =15t^4-5t^3+57t-45t^3+15t^2-171 \\ =15t^4-50t^3+15t^2+57t-171 \end{gathered}[/tex]

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