Answer:
700,000+80,000+5,000+400+20
3c(5+c) -2(3c-7)
15c+3c^2-6c+14
9c+3c^2+14
Answer:
x²-y² = 40
Step-by-step explanation:
Factorising x²-y²:
x²-y² = (x+y)(x-y)
This is due to the property that states:
a²+b² = (a+b)(a-b)
Substituting the given values into the above equation:
x²-y² = (10)(4)
= 40
Hence, x²-y² = 40
<em>Hope this helps and be sure to have a wonderful time ahead at Brainly! :D</em>
Proving a relation for all natural numbers involves proving it for n = 1 and showing that it holds for n + 1 if it is assumed that it is true for any n.
The relation 2+4+6+...+2n = n^2+n has to be proved.
If n = 1, the right hand side is equal to 2*1 = 2 and the left hand side is equal to 1^1 + 1 = 1 + 1 = 2
Assume that the relation holds for any value of n.
2 + 4 + 6 + ... + 2n + 2(n+1) = n^2 + n + 2(n + 1)
= n^2 + n + 2n + 2
= n^2 + 2n + 1 + n + 1
= (n + 1)^2 + (n + 1)
This shows that the given relation is true for n = 1 and if it is assumed to be true for n it is also true for n + 1.
<span>By mathematical induction the relation is true for any value of n.</span>
