Carry out the multiplication of the expressions in each of the following pairs. Then, complete the table.

Question

ScanSolve AI Tutor · Accepted Answer

Here are the solutions to all the questions:

1. Carry out the multiplication of the expressions in each of the following pairs.

Distribute $4p$ to each term inside the parenthesis.
$$ 4p(q+r) = 4p \times q + 4p \times r $$
Perform the multiplication.
$$ = \boxed{4pq + 4pr} $$
- 1 (ii): $ab, a-b$
Distribute $ab$ to each term inside the parenthesis.
$$ ab(a-b) = ab \times a - ab \times b $$
Perform the multiplication.
$$ = \boxed{a^2b - ab^2} $$
- 1 (iii): $a+b, 7a^2b^2$
Distribute $7a^2b^2$ to each term inside the parenthesis.
$$ (a+b)7a^2b^2 = a \times 7a^2b^2 + b \times 7a^2b^2 $$
Perform the multiplication.
$$ = \boxed{7a^3b^2 + 7a^2b^3} $$
- 1 (iv): $a^2-9, 4a$
Distribute $4a$ to each term inside the parenthesis.
$$ (a^2-9)4a = a^2 \times 4a - 9 \times 4a $$
Perform the multiplication.
$$ = \boxed{4a^3 - 36a} $$
- 1 (v): $pq+qr+rp, 0$
Multiply the expression by 0.
$$ (pq+qr+rp) \times 0 $$
Any expression multiplied by 0 is 0.
$$ = \boxed{0} $$
2. Complete the table.

First expression Second expression Product
(i) $a$ $b+c+d$ $\boxed{ab+ac+ad}$
(ii) $x+y-5$ $5xy$ $\boxed{5x^2y+5xy^2-25xy

Step-by-step solution

First expression	Second expression	Product
(i) $a$	$b+c+d$	$\boxed{ab+ac+ad}$
(ii) $x+y-5$	$5xy$	$\boxed{5x^2y+5xy^2-25xy