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)	$4p^2{q}^2$	$p^2-q^2$	.....
V)	$a+b+c$	$abc$	.....

• A. (i) $ab+ac+ad$
  
• B. (ii) $5x^{2}y+5x{y}^2-25xy$
  
• C. (iii) $6p^3-7p^2+5p$
  
• D. (iv) $4p^4{q}^2-4p^2{q}^4$
  
• E. (v) $a^{2}bc+a{b}^{2}c+ab{c}^2$

Answer 1

Answer: (A), (B), (C), (D), (E)

The correct options are
A (i) $ab+ac+ad$
B (ii) $5x^{2}y+5x{y}^2-25xy$
C (iii) $6p^3-7p^2+5p$
D (iv) $4p^4{q}^2-4p^2{q}^4$
E (v) $a^{2}bc+a{b}^{2}c+ab{c}^2$

We can complete the given table by multiplying the expressions as shown below:

	$\text{First Expression}$	$\text{Second Expression}$	$\text{Product}$
$\left(i\right)$	$a$	$b+c+d$	$ab+ac+ad$
$\left(ii\right)$	$x+y-5$	$5xy$	$5x^{2}y+5x{y}^2-25xy$
$\left(iii\right)$	$p$	$6p^2-7p+5$	$6p^3-7p^2+5p$
$\left(iv\right)$	$4p^2{q}^2$	$p^2-q^2$	$4p^4{q}^2-4p^2{q}^4$
$\left(v\right)$	$a+b+c$	$abc$	$a^{2}bc+a{b}^{2}c+ab{c}^2$