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

Updated On: Nov 28, 2023
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Solution and Explanation

 

 First expression

Second expression

Product

(i)

          a

    b + c + d

a(b+c+d)
= a×\timesb + a×\timesc + a×\timesd
= 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×\times5
= 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

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