3 years ago

Find the missing factor. 7s^2 + + 13s + 6 = (7s + 6) )

Mathematics

1 answer:

Anton [14]3 years ago

5 0

Answer:

71s

Step-by-step explanation:

The question we have at hand is 7s² + ___ + 13s + 6² = (7s + 6)². We can expand the perfect equation " (7s + 6)² " in order to find our solution. A perfect square consists of 3 terms, and hence the term in the blanks must add to 13s to form another term.

Applying the perfect square formula : ( a + b )² = a² + 2ab + b², let's expand the expression,

(7s + 6)² = ( 7s )² + 2( 7s )( 6 ) + ( 6 )² = 7s² + 84s + 6²

84s - 13s = 71s, which fills in the blank provided.

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