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Factor the expression 16x^2-9 16x^2-9=(square )(square )

Pergunta

Factor the expression 16x^2-9
16x^2-9=(square )(square )

Factor the expression 16x^2-9 16x^2-9=(square )(square )

Solução

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LygiaProfissional · Tutor por 6 anos

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To factor the expression $16x^{2}-9$, we can use the difference of squares formula, which states that $a^2 - b^2 = (a + b)(a - b)$.<br /><br />In this case, we have $16x^{2}-9$, which can be written as $(4x)^{2} - 3^{2}$. <br /><br />So, we can factor it as $(4x + 3)(4x - 3)$.<br /><br />Therefore, the factored form of $16x^{2}-9$ is $(4x + 3)(4x - 3)$.
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