Question
Multiply the polynomials: \( (3y - 4)(2y + 6) \)
Ask by Mcdonald Brooks. in Pakistan
Nov 23,2024
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( 6y^{2} + 10y - 24 \)
Solution
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Mind Expander
To multiply the polynomials \( (3y - 4)(2y + 6) \), use the distributive property or the FOIL method (First, Outside, Inside, Last). First, multiply the First terms: \( 3y \times 2y = 6y^2 \) Next, multiply the Outside terms: \( 3y \times 6 = 18y \) Then, multiply the Inside terms: \( -4 \times 2y = -8y \) Finally, multiply the Last terms: \( -4 \times 6 = -24 \) Now, combine all these results: \( 6y^2 + 18y - 8y - 24 \) Combine like terms: \( 6y^2 + 10y - 24 \) Thus, the result of multiplying the polynomials is: \( 6y^2 + 10y - 24 \)
