Find the following products:
(i) 
(ii) 
(iii) 
(iv) 
(v) 
(vi) 
(vii) 
(viii) 
(ix) 
(x) 
(xi) 
(xii) 
(xiii) 
(xiv) 
(xv) 
(xvi) (y2 + 
) (y2 - 
)
(xvii) 
(i) 
x (x + 7) + 4 (x + 7)
= x2 + 7x + 4x + 28
= x2 + 11x + 28
(ii) 
x (x + 4) – 11 (x + 4)
= x2 + 4x – 11x – 44
= x2 – 7x - 44
(iii) 
x (x – 5) + 7 (x – 5)
= x2 – 5x + 7x – 35
= x2 + 2x - 35
(iv) 
x (x – 2) – 3 (x – 2)
= x2 – 2x – 3x + 6
= x2 – 5x + 6
(v) 
y2 (y2 – 3) – 4 (y2 – 3)
= y4 – 3y2 – 4y2 + 12
= y4 – 7y2 + 12
(vi) 
x (x + 
) + 
(x + 
)
= x2 + 
+ 
+ 
= x2 + 
+ 
+ 1
= x2 + 
+ 1
(vii) 
3x (3x + 11) + 5 (3x + 11)
= 9x2 + 33x + 15x + 55
= 9x2 + 48x + 55
(viii) 
2x2 (2x2 – 5) – 3 (2x2 – 5)
= 4x4 – 10x2 – 6x2 + 15
= 4x4 – 16x2 + 15
(ix) 
z2 (z2 – 3) + 2 (z2 – 3)
= z4 – 3z2 + 2z2 – 6
= z4 – z2 - 6
(x) 
3x (2x – 4y) – 4y (2x – 4y)
= 6x2 – 12xy – 8xy + 16y2
= 6x2 – 20xy + 16y2
(xi) 
3x2 (3x2 – 3xy) – 4xy (3x2 – 3xy)
= 9x4 – 9x3y – 12x3y + 12x2y2
= 9x4 – 21x3y + 12x2y2
(xii) 
x (x + 
) + 5 (x + 
)
= x2 + 
+ 5x + 1
= x2 + 
x + 1
(xiii) 
z (z + 
) + 
(z + 
)
= z2 + 
z + 
z + 
= z2 + 
z + 
z + 1
= z2 + 
z + 1
(xiv) 
x2 (x2 + 9) + 4 (x2 + 9)
= x4 + 9x2 + 4x2 + 36
= x4 + 13x2 + 36
(xv) 
y2 (y2 + 6) + 12 (y2 + 6)
= y4 + 6y2 + 12y2 + 72
= y4 + 18y2 + 72
(xvi) (y2 + 
) (y2 - 
)
y2 (y2 - 
) + 
(y2 - 
)
= y4 - 
y2 + 
y2 – 2
= y4 - 
y2 - 2
(xvii) 
p2 (p2 - 
) + 16 (p2 - 
)
= p4 – 
p2 + 16p2 – 4
= p4 - 
p2 - 4
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