Question

Complete the table

--- First expression Second Expression Product

(i) a b + c + d -

(ii) x + y − 5 5 xy -

(iii) p 6p^2 − 7p + 5 -

(iv) 4p^2q^2 p^2 − q^2 -

(v) a + b + c abc -

Answer 1

Step-by-step explanation:

To complete the table;

Multiply first expression to the second one and write the product in the third

$1)\:a \: (b + c + d) = ab + ac + ad$

$2)\:(x + y - 5)(5xy) = 5 {x}^{2}y + 5x {y}^{2} - 25xy$

$3)\:p(6 {p}^{2} - 7p + 5) = 6 {p}^{3} - 7 {p}^{2} + 5p$

$4)\:4 {p}^{2} {q}^{2} ( {p}^{2} - {q}^{2} ) = 4 {p}^{4} {q}^{2} - 4 {p}^{2} {q}^{4}$

$5)\:(a + b + c)(abc) = {a}^{2} bc + a {b}^{2} c + ab {c}^{2}$

The table is shown below:

$\begin{tabular}{|l|l|l|}</p><p>\cline{1-3}</p><p>First expression & Second expression & Product \\ \cline{1-3}</p><p>a & a+b+c & ab + ac + ad \\ \cline{1-3}</p><p>x+y-5 & 5xy & 5 {x}^{2}y + 5x {y}^{2} - 25xy \\ \cline{1-3}</p><p> p & 6 {p}^{2} - 7p + 5 & 6 {p}^{3} - 7 {p}^{2} + 5p \\ \cline{1-3}</p><p>4 {p}^{2} {q}^{2} & {p}^{2} - {q}^{2} & 4 {p}^{4} {q}^{2} - 4 {p}^{2} {q}^{4} \\ \cline{1-3}</p><p>a + b + c & abc & {a}^{2} bc + a {b}^{2} c + ab {c}^{2} \\ \cline{1-3}</p><p>\end{tabular}$

Hope it helps you.