Question

1. $3m^4n^3(2m^4n^2 + 6mn^3)$
2. $8xy(x^3y^2 + 6x^2y)$

Explanation:

Step1: Distribute the monomial (Q13)

Multiply $3m^4n^3$ by each term inside the parentheses.
$3m^4n^3 \times 2m^4n^2 + 3m^4n^3 \times 6m^3n$

Step2: Simplify each term (Q13)

Use exponent rule $a^m \times a^n = a^{m+n}$ to combine like bases.
$6m^{4+4}n^{3+2} + 18m^{4+3}n^{3+1} = 6m^8n^5 + 18m^7n^4$

Step3: Distribute the monomial (Q14)

Multiply $8xy$ by each term inside the parentheses.
$8xy \times x^3y^2 + 8xy \times 6x^2y$

Step4: Simplify each term (Q14)

Use exponent rule $a^m \times a^n = a^{m+n}$ to combine like bases.
$8x^{1+3}y^{1+2} + 48x^{1+2}y^{1+1} = 8x^4y^3 + 48x^3y^2$

Answer:

1. $6m^8n^5 + 18m^7n^4$
2. $8x^4y^3 + 48x^3y^2$