Question

Without multiplying. Find the product of
1]105X 106
2] 98 ×99​

Answer 1

Step-by-step explanation:

1. (100+5)(100+6)

by identity (a+b)(a+c)=a2+ac+ab+bc

10000+600+500+30

11030

2. (100-2)(100-1)

10000-100-200+2

9702

Answer 2

Answer:

1) 105× 106

(100 + 5)(100+ 6)

(100)² + (5+6)100 + 5×6

[ ( x + a)( x + b ) = x² + ( a+ b )x + xy ]

10000+ 11×100 + 30

10000 + 1100 + 30

11130

2) 98×99

(100 - 2 ) ( 100 - 1)

(100)² - ( 2 + 1)100 + 2 ×1

[(x - a)(x - b) = x² - ( a + b ) x + xy]

10000 - 3×100 + 2

10000 - 300 + 2

9700+2

9702

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