Primeira página
/
Matemática
/
Find the product. (x-7)(x+7) (x-7)(x+7)= square (Simplify your answer.)

Pergunta

Find the product.
(x-7)(x+7)
(x-7)(x+7)= square  (Simplify your answer.)

Find the product. (x-7)(x+7) (x-7)(x+7)= square (Simplify your answer.)

Solução

expert verifiedVerification of experts
4.4350 Voting
avatar
NídiaAvançado · Tutor por 1 anos

Responder

To find the product of \((x-7)(x+7)\), we can use the difference of squares formula, which states:<br /><br />\[<br />(a-b)(a+b) = a^2 - b^2<br />\]<br /><br />In this case, \(a = x\) and \(b = 7\). Applying the formula, we have:<br /><br />\[<br />(x-7)(x+7) = x^2 - 7^2<br />\]<br /><br />Calculating \(7^2\), we get:<br /><br />\[<br />7^2 = 49<br />\]<br /><br />Therefore, the expression simplifies to:<br /><br />\[<br />x^2 - 49<br />\]<br /><br />So, the simplified product is:<br /><br />\[<br />x^2 - 49<br />\]
Clique para avaliar: