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