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Sagot :
The value of the expression using distributive property is [tex]-\frac{4}{5}[/tex] .
According to the distributive property, an expression of the form A (B + C) can be resolved as A (B + C) = AB + AC.
- This distributive law, which is represented as A (B - C) = AB - AC, also applies to subtraction.
- This indicates that the distribution of operand A among the other two operands.
- We learn how to solve expressions in the form of a(b + c) from the distributive property. The distributive law of multiplication and division is another name for the distribution property.
The given expression is [tex]\frac{4}{7}\times(-\frac{3}{5} ) +(-\frac{4}{5} )\times\frac{4}{7}[/tex]
Here we take the reverse of the distributive property to solve the expression. We take the term of [tex]\frac{4}{7}[/tex] common from both the separate expressions:
[tex]=\frac{4}{7}\times(-\frac{3}{5} ) +(-\frac{4}{5} )\times\frac{4}{7}\\\\=\frac{4}{7}(-\frac{3}{5}-\frac{4}{5})\\\\=\frac{4}{7}\times(-\frac{7}{5}) \\\\=-\frac{4}{5}[/tex]
To learn more about distributive property:
https://brainly.com/question/5637942
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