Question

question 6

multiply the following multivariable polynomials:
\\((6a - 2b)(5a - 3b)\\)

\\(30a^2 - 8b + 6b^2\\)
\\(30a^2 - 28ab - 6b^2\\)
\\(30a^2 - 8b - 6b^2\\)
\\(30a^2 - 28ab + 6b^2\\)

question 7

multiply:
\\((x + 3)^2\\)

(hint: when you have a binomial squared, write it out twice \\((x + 3)(x + 3)\\) and then multiply it out.)

\\(x^2 + 6x + 9\\)
\\(x^2 + 9\\)
\\(x^2 - 6x + 9\\)
\\(x^2 - 9\\)

Explanation:

Multiply the first pair of binomials

$$
LATEXBLOCK0
$$

Combine like terms for the first expression

$$ 30a^2 - 18ab - 10ab + 6b^2 = 30a^2 - 28ab + 6b^2 $$

Multiply the second binomial squared

$$
LATEXBLOCK1
$$

Answer:

Question 6

• (A) \(30a^2 - 8b + 6b^2\)
• (B) \(30a^2 - 28ab - 6b^2\)
• (C) \(30a^2 - 8b - 6b^2\)
• (D) \(30a^2 - 28ab + 6b^2\) (Correct answer)

Question 7

• (A) \(x^2 + 6x + 9\) (Correct answer)
• (B) \(x^2 + 9\)
• (C) \(x^2 - 6x + 9\)
• (D) \(x^2 - 9\)