14. $$ (3 x+2)(5 x+3)= $$ 15. $$ (4 x+3)(2 x+5)= $$ 16. $$ (x-3)(2 x-2)= $$

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**14. Expand $$ (3x+2)(5x+3) $$:**

1. Multiply the first terms: $$3x \times 5x = 15x^2$$.
2. Multiply the outer terms: $$3x \times 3 = 9x$$.
3. Multiply the inner terms: $$2 \times 5x = 10x$$.
4. Multiply the last terms: $$2 \times 3 = 6$$.

Combine like terms:
$$
15x^2 + 9x + 10x + 6 = 15x^2 + 19x + 6.
$$

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**15. Expand $$ (4x+3)(2x+5) $$:**

1. Multiply the first terms: $$4x \times 2x = 8x^2$$.
2. Multiply the outer terms: $$4x \times 5 = 20x$$.
3. Multiply the inner terms: $$3 \times 2x = 6x$$.
4. Multiply the last terms: $$3 \times 5 = 15$$.

Combine like terms:
$$
8x^2 + 20x + 6x + 15 = 8x^2 + 26x + 15.
$$

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**16. Expand $$ (x-3)(2x-2) $$:**

1. Multiply the first terms: $$x \times 2x = 2x^2$$.
2. Multiply the outer terms: $$x \times (-2) = -2x$$.
3. Multiply the inner terms: $$-3 \times 2x = -6x$$.
4. Multiply the last terms: $$-3 \times (-2) = 6$$.

Combine like terms:
$$
2x^2 - 2x - 6x + 6 = 2x^2 - 8x + 6.
$$
**14. $$ (3x+2)(5x+3) = 15x^2 + 19x + 6 $$** **15. $$ (4x+3)(2x+5) = 8x^2 + 26x + 15 $$** **16. $$ (x-3)(2x-2) = 2x^2 - 8x + 6 $$**

14. \( (3 x+2)(5 x+3)= \) 15. \( (4 x+3)(2 x+5)= \) 16. \( (x-3)(2 x-2)= \)

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