Question

Look at the pattern given below

1²+(4x2) = 3²

2² + (4x3) = 4²

3² + (4x4) = 5²

a) Write the next two lines

b) Explain the general principle using algebra
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Answer 1

Answer:

a)4^2+(4×5)=6^2

Step-by-step explanation:

5^2+(4×6)=7^2

b)distributive law, in mathematics, the law relating the operations of multiplication and addition, stated symbolically, a(b + c) = ab + ac; that is, the monomial factor a is distributed, or separately applied, to each term of the binomial factor b + c, resulting in the product ab + ac.