High School

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Find the product:

1. \((3y^2 - 2y - Dy + 4y - 3)(6)\)

2. \((2a)(11)\)

3. \((2x - 2 + 7y)^2\)

4. \([(5x - y) + 4x][(5x - y) - 42]\)

5. \((2x + 5)\)

6. For the pair of functions \(f(x) = 5x + 2\) and \(g(x) = x^2 + 4x - 7\), find the product \(f(x)g(x)\).

Divide:

7. \(-42x^6 + 28x^5 - 49x^4 - 7x^5\)

8. \(16st^3 - 50 + 64st^2\) by \(4st^2\)

9. \(x^2 + 17x + 70\) by \(x + 9\)

Additional expressions:

- \(4a^2\)
- \(4x^2 - 8x + 4 + 28xy - 28y + 8\)
- \(25x^2 - 10xy + y^2 - 16x^2\)
- \(8x^3 + 60x^2 + 150x + 125\)
- \(5x^3 + 22x^2 - 27x - 14\)
- \(6x - 4 + x\)
- \(5t^2\)
- \(4t - 16\)
- \(4s\)

Answer :

Final answer:

Despite unclear questions, the prompt appears to involve solving mathematical operations including multiplication and division of polynomials. The given example illustrates one possible method for solving such equations.

Explanation:

The question appears to be asking for answers involving multiple mathematical operations such as multiplication and division of polynomials. Unfortunately, the question seems disjointed and not clear enough to provide accurate solutions to the given equations.

For example, to find the product of the function pair (5x + 2) and (x2 + 4x - 7), you would perform a multiplication operation. When f(x) = 5x+2 and g(x) = x2 + 4x - 7, the product f(x)g(x) would be (5x + 2)(x2 + 4x - 7). And to solve this multiplication operation, you would then distribute 5x and 2 to each term in (x2 + 4x - 7).

Learn more about polynomials

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