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Write as a product. 49-2ax-a^(2)-x^(2) ◻

Write as a product.\newline49−2ax−a2−x2 49-2 a x-a^{2}-x^{2} \newline□\square

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Full solution

Q. Write as a product.\newline49−2ax−a2−x2 49-2 a x-a^{2}-x^{2} \newline□\square
  1. Recognize as difference of squares: Recognize the expression as a difference of squares.\newline(49−x2)−(a2+2ax)(49 - x^2) - (a^2 + 2ax)
  2. Rewrite each square: Rewrite each square.\newline(72−x2)−(a2+2ax)(7^2 - x^2) - (a^2 + 2ax)
  3. Factor each difference of squares: Factor each difference of squares.\newline(7−x)(7+x)−(a+x)2(7 - x)(7 + x) - (a + x)^2
  4. Correct grouping of terms: Realize there's a mistake; the second term is not a difference of squares.\newlineGo back to the original expression and group terms correctly.\newline(49−a2)−(2ax+x2)(49 - a^2) - (2ax + x^2)

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