Q. Which expression is equivalent to −9−(−431) ?Choose 1 answer:(A) −9+431(B) −431−(−9)(C) −431+(−9)(D) 9−(−431)
Understand the problem: Understand the problem.We need to find an expression equivalent to −9−(−4(31)). This involves simplifying the expression by removing the parentheses and combining like terms.
Apply distributive property: Apply the distributive property to remove the parentheses.−9−(−431) can be simplified by distributing the negative sign inside the parentheses, which is the same as multiplying by −1.−9−(−431)=−9+431
Identify equivalent expression: Identify the equivalent expression.Looking at the options given, we can see that the expression we have obtained, −9+4(31), matches option (A).
Verify other options: Verify that the other options are not equivalent.(B) −4(31)−(−9) simplifies to −4(31)+9, which is not the same as our expression.(C) −4(31)+(−9) is the same as −4(31)−9, which is also not the same as our expression.(D) 9−(−4(31)) simplifies to 9+4(31), which is not the same as our expression.
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