Question

evaluate without multiplying directly ( 1.) 49 multiply 48. (2.) 1005 multiply by 995







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Answer 1

Answer:

2 answer 999975

Step-by-step explanation:

1005 ×995=1000+5×1000_5and can be solved by using a+b ×a_b=a^2_b^2=1000^2_5^2=999975

Answer 2

Answer:

1. (49)×(48)

We use the identity: (x+a)(x+b)=x^2+(a+b)x+ab

{50+(-1)}{50+(-2)}

(50)^2+(-1-2)50+(-1)(-2)

2500-150+2

Ans. 2352

2. (1005)(995)

We use the identity: (x+y)(x-y) = x^2-y^2

(1000+5)(1000-5)

= (1000)^2-(5)^2

= 1000000-25

= 999975

Hope this helps you!!