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