Question

Complete the table.	First expression	Second expression	Product
(i)	a	b + c + d	…
(ii)	x + y – 5	5xy	…
(iii)	p	6p 2 – 7p + 5	…
(iv)	4p 2q 2	p 2 – q 2	…
(v)	a + b + c	abc	…

Answer 1

| First expression| Second expression| Product
---|---|---|---
(i)| a| b + c + d| a(b+c+d)
= a$\times$b + a$\times$c + a$\times$d
= ab + ac + ad
(ii)| x + y – 5| 5xy| 5 xy (x + y – 5)
= 5 xy $\times$ x + 5 xy $\times$ y – 5 xy $\times$ 5
= 5 x2y + 5 xy2 – 25xy
(iii)| p| 6p 2 – 7p + 5| p (6 p 2-7 p +5)
= p$\times$ 6 p2 – p$\times$ 7 p + p$\times$5
= 6 p3 – 7 p2 + 5 p
(iv)| 4p 2q 2| p 2 – q 2| 4p2 q2 $\times$ (p2 – q2 )
=4 p4 q2– 4p2 q4
(v)| a + b + c| abc| abc(a + b + c)
= abc $\times$ a + abc $\times$ b + abc $\times$ c
= a2bc + ab2c + abc2