Step-by-step explanation:
[tex] {x}^{2} + 9x + 4x + 36 \\ {x}^{2} + 13x + 36 [/tex]
The simplified form of the distributive property, will be: x² + 13x + 36
Distributive property is a binary sentence, being composed of some mathematical operations. The mathematical operations that may be involved in the distributive property are: multiplication, addition, subtraction and others.
To solve a distributive, it is enough to multiply all the members that are outside the parentheses, for the terms that are inside. Then we're going to rearrange the sentence, thus multiplying and summing the terms.
( x + 4 ) ( x + 9 )
x · x + 9x + 4x + 4 · 9
x² + 9x + 4x + 4 · 9
x² + 9x + 4x + 36
x² + 13x + 36
Therefore, the simplified form of this sentence is x² + 13x + 36
