Question

Sl. Use the formula (a + b + c)2 = a² + b2 + c2 + 2ab
+ 2bc + 2ac to find the square of the following
numbers.
(a) 100 + 30 + 8
(b) 4x + 5y + z, where x = 100, y = 10 and z =1
(C) 100x + 10y + z, where x = 9, y = 3 and z = 5
​

Answer 1

Answer:

a: 19044

b:203401

c:874225

Answer 2

Answer:

(a) 19044

(b) 203401

(C) 874225

Step-by-step explanation:

(a) 100 + 30 + 8= (100+30+8)² =100²+30²+8²+(2×100×30)+(2×30×8)+(2×100×8)

=10000+900+64+6000+480+1600

=19044

(b) (4×100)+(5×10)+1={(4×100)+(5×10)+1}²

=(400+50+1)²

= 400²+50²+1²+(2×400×50)+(2×50×1)+(2×400×1)

= 160000+2500+1 +40000+100+800

=203401

(C) (100×9)+(10×3)+5²={(100×9)+(10×3)+5}²

=(900+30+5)²

= 900²+30²+5²+(2×900×30)+(2×30×5)+(2×900×5)

=810000+900+25+54000+300+9000

=874225