Question

question 8

multiply:
\\((3x - 5y)^2\\)

(hint: when you have a question like this you should write it out, \\((3x - 5y)(3x - 5y)\\) then multiply!)

• \\(9x^2 - 25y^2\\)
• \\(9x^2 - 30xy + 25y^2\\)
• \\(9x^2 + 25y^2\\)
• \\(9x^2 + 30xy - 25y^2\\)

question 9

multiply the following multivariable polynomials:
\\((x + y - 3)(x + y + 3)\\)

• \\(x^2 + 2xy - 6x + y^2 - 6y + 9\\)
• \\(x^2 + xy - 6x - 3y + 9\\)
• \\(x^2 + 2xy + y^2 - 9\\)
• \\(x^2 + xy + y^2 - 9\\)

Explanation:

Expand the binomial square in Question 8

$$
LATEXBLOCK0
$$

Multiply the multivariable polynomials in Question 9

$$
LATEXBLOCK1
$$

Answer:

Question 8

• (A) \(9x^2 - 25y^2\)
• (B) \(9x^2 - 30xy + 25y^2\) (Correct answer)
• (C) \(9x^2 + 25y^2\)
• (D) \(9x^2 + 30xy - 25y^2\)

Question 9

• (A) \(x^2 + 2xy - 6x + y^2 - 6y + 9\)
• (B) \(x^2 + xy - 6x - 3y + 9\)
• (C) \(x^2 + 2xy + y^2 - 9\) (Correct answer)
• (D) \(x^2 + xy + y^2 - 9\)