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Factor the expression completely. 70-7x square

Pergunta

Factor the expression completely.
70-7x
square

Factor the expression completely. 70-7x square

Solução

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CristinaProfissional · Tutor por 6 anos

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To factor the expression \(70 - 7x\) completely, we need to identify the greatest common factor (GCF) of the terms in the expression.<br /><br />1. Identify the GCF of the coefficients:<br /> - The coefficients are 70 and -7.<br /> - The GCF of 70 and 7 is 7.<br /><br />2. Factor out the GCF from each term:<br /> - \(70 = 7 \times 10\)<br /> - \(-7x = 7 \times (-x)\)<br /><br />3. Write the expression as a product of the GCF and the remaining terms:<br /> \[<br /> 70 - 7x = 7(10) - 7(x)<br /> \]<br /><br />4. Factor out the GCF (which is 7):<br /> \[<br /> 70 - 7x = 7(10 - x)<br /> \]<br /><br />So, the completely factored form of the expression \(70 - 7x\) is:<br />\[<br />\boxed{7(10 - x)}<br />\]
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