3 Tutor System
Starting just at 265/hour

# 2. Complete the table.

Products of the given expressions in the table are done as follows:
.(i) $$a \times (b + c + d) = (a \times b) + (a \times c) + (a \times d) = ab + ac + ad$$

(ii) $$(x + y – 5) (5xy) = (x \times 5xy) + (y \times 5xy) – (5 \times 5xy) = 5x^2y + 5xy^2 – 25xy$$

(iii) $$p \times (6p^2 – 7p + 5) = (p \times 6p^2) – (p \times 7p) + (p \times 5) = 6p^3 – 7p^2 + 5p$$

(iv) $$4p^2q^2 \times (p^2 – q^2) = 4p^2q^2 \times p^2 – 4p^2q^2 \times q^2 = 4p^4q^2 – 4p^2q^4$$

(v) $$(a + b + c) \times (abc) = (a \times abc) + (b \times abc) + (c \times abc) = a^2bc + ab^2c + abc^2$$

Therefore, the completed table is as follows: