fct No. 2 Multipleation and Division of Polyn
Find the product
8× x(6x + 6)
3n(n² - 6n + 5)
- 8r²(4r² - 5r + 7)
7xyz (6x² y + 4yz - 2z²)
3(5v + 8v - 5)
9(x ^ 2 + xy - 8y²)
2u(6u²- ^ 2 - 9uv + v²)
-5×(4×-4)
׳y⁴(×y-10²)
Answer (1)
Answer:Let's analyze and find the products of each expression step by step:1. 8× x(6x + 6): - Distribute 8x across (6x + 6): 8x * 6x + 8x * 6 = 48x^2 + 48x.2. 3n(n² - 6n + 5): - Distribute 3n: 3n * n² - 3n * 6n + 3n * 5 = 3n^3 - 18n^2 + 15n.3. -8r²(4r² - 5r + 7): - Distribute -8r²: -8r² * 4r² + (-8r²) * (-5r) + (-8r²) * 7 = -32r^4 + 40r^3 - 56r^2.4. 7xyz (6x² y + 4yz - 2z²): - Distribute each term: -7xyz * 6x² y = -42x³ y² z, -7xyz * 4yz = -28 x y² z², -7xyz * (-2z²) = +14 x y z³.5. 3(5v + 8v -5): - Combine like terms inside parentheses: (13v -5), then multiply by 3: -3 * (13v -5) = 39v -15.6. 9(x^2 + xy -8y²): - Distribute the scalar: =9x^2 +9xy -72 y^2.7. 2u(6u²- u² -9uv + v²): - Simplify inside parentheses: (5u^2 -9uv + v^2), then multiply by 2u: =10u^3 -18 u^2 v +2 u v^2.8. -5×(4×-4): - Multiply: -5 * (4 * (-4)) = -5 * (-16) =16.9. ׳ y⁴ (× y-10²): - Assuming the expression is x³ y⁴ (x y –10²), then: x³ y⁴ (x y –100).These are the products of each given expression.Step-by-step explanation:
