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Factor the expression completely. 16-10x square

Pergunta

Factor the expression completely.
16-10x
square

Factor the expression completely. 16-10x square

Solução

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BeneditaProfissional · Tutor por 6 anos

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To factor the expression \(16 - 10x\) completely, we need to find the greatest common factor (GCF) of the terms in the expression.<br /><br />The terms are \(16\) and \(-10x\).<br /><br />1. The GCF of \(16\) and \(-10x\) is \(2\), since \(2\) is the largest number that divides both \(16\) and \(-10x\) without leaving a remainder.<br /><br />2. We factor out the GCF from each term:<br /> \[<br /> 16 - 10x = 2(8) - 2(5x)<br /> \]<br /><br />3. Now, we can write the expression as:<br /> \[<br /> 16 - 10x = 2(8 - 5x)<br /> \]<br /><br />So, the completely factored form of the expression \(16 - 10x\) is:<br />\[<br />\boxed{2(8 - 5x)}<br />\]
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