Dancing Nypo

<details> <summary>Upute: </summary> <img src="https://www.mathkiss.com/uploads/nilski1.png" width="400"/> </details> <h4> Solve :</h4> (a) Multiply the monomials and simplify the result:

(§ § V 0 (3, 7, 1) § § x) \cdot (§ § V 1 (4, 6, 1) § § x^{2})

(b) Expand the product of a monomial and a binomial, and simplify:

§ § V 2 (2, 5, 1) § § x \cdot (§ § V 3 (3, 6, 1) § § x + § § V 4 (5, 8, 1) § §)

(c) Expand and simplify the product of two binomials:

(§ § V 5 (1, 4, 1) § § x + § § V 6 (3, 7, 1) § §) (§ § V 7 (2, 5, 1) § § x + § § V 8 (5, 9, 1) § §)

(d) Multiply a binomial and a trinomial. Write the expanded and simplified form:

(§ § V 9 (2, 6, 1) § § x + § § V 10 (1, 3, 1) § §) (§ § V 11 (3, 8, 1) § § x^{2} + § § V 12 (2, 5, 1) § § x + § § V 13 (4, 7, 1) § §)

(e) Multiply two binomials. Expand and simplify the expression:

(§ § V 14 (2, 5, 1) § § x - § § V 15 (3, 6, 1) § §) (§ § V 16 (1, 4, 1) § § x + § § V 17 (4, 8, 1) § §)

(f) Square the binomial and simplify:

(§ § V 18 (1, 3, 1) § § x + § § V 19 (5, 9, 1) § §)^{2}

(g) Find the product of two binomials and simplify:

(§ § V 20 (2, 6, 1) § § x - § § V 21 (3, 7, 1) § §) (§ § V 22 (1, 4, 1) § § x - § § V 23 (6, 8, 1) § §)

(h) Multiply a monomial and a trinomial, then simplify the result:

§ § V 24 (3, 7, 1) § § x \cdot (§ § V 25 (4, 9, 1) § § x^{2} - § § V 26 (2, 5, 1) § § x + § § V 27 (7, 10, 1) § §)

(i) Expand and simplify the product of two binomials:

(§ § V 28 (3, 8, 1) § § x + § § V 29 (2, 6, 1) § §) (§ § V 30 (2, 5, 1) § § x - § § V 31 (1, 4, 1) § §)

(j) Multiply a trinomial and a binomial. Write the simplified expression:

(§ § V 32 (1, 4, 1) § § x^{2} + § § V 33 (2, 5, 1) § § x + § § V 34 (3, 7, 1) § §) (§ § V 35 (2, 6, 1) § § x + § § V 36 (4, 8, 1) § §)