Question 1

Simplify the following expressions.

(a) \( x^3 \times x^5 \) (b) \( y^2 \times y^7 \) (c) \( a^3 \times 6a^5 \)
(d) \( 2x^4 \times 3y^5 \) (e) \( 2a \times 4a^3 \) (f) \( 6x^3 \times 2x^5 \times 3x^2 \)
(g) \( 3y^2 + 2y^5 + 4y^2 \) (h) \( 4b^3c^2 \times 5b^4c \) (i) \( 5xy^3 \times 3x^2y^2 \times 4x^3y \)
(j) \( ax^2 \times bx \times a^3bx^2 \) (k) \( 3ab^4c^2 \times 2a^2bc^3 \times 4a^4b^2c \) (l) \( 5x^3y^2 \times 2x^2y^2 + 3x^4y \times 4xy^3 \)