Question

question 4
factor the following.
2r² - 18
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question 5
factor the following.
75y³ - 48y

Explanation:

Step1: Factor out GCF (Q4)

$2r^2 - 18 = 2(r^2 - 9)$

Step2: Apply difference of squares (Q4)

$r^2 - 9 = r^2 - 3^2 = (r-3)(r+3)$

Step3: Combine factors (Q4)

$2(r-3)(r+3)$

Step4: Factor out GCF (Q5)

$75y^3 - 48y = 3y(25y^2 - 16)$

Step5: Apply difference of squares (Q5)

$25y^2 - 16 = (5y)^2 - 4^2 = (5y-4)(5y+4)$

Step6: Combine factors (Q5)

$3y(5y-4)(5y+4)$

Answer:

Question 4: $2(r-3)(r+3)$
Question 5: $3y(5y-4)(5y+4)$