If (3x − 2)(3x + 2) = ax2 − b, what is the value of a?

Question

If (3x − 2)(3x + 2) = ax2 − b, what is the value of a?

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Kim Cúc 2 months 2021-07-24T14:54:03+00:00 2 Answers 3 views 0

Answers ( )

    0
    2021-07-24T14:55:35+00:00

    (3x-2)(3x+ 2)

    Multiply each term in one set of parentheses by the other terms:

    3x x 3x =9x^2

    3x x 2 = 6x

    -2 x 3x = -6x

    -2 x 2 = -4

    Combine to get:

    9x^2 + 6x – 6x -4

    Combine like terms:

    9x^2 – 4

    The value of a would be 9.

    0
    2021-07-24T14:55:55+00:00

    \sf{\bold{\blue{\underline{\underline{Given}}}}}

    • (3x − 2)(3x + 2) = ax2 − b⠀⠀⠀⠀

    \sf{\bold{\red{\underline{\underline{To\:Find}}}}}

    • ⠀what is the value of a?⠀⠀⠀

    \sf{\bold{\purple{\underline{\underline{Solution}}}}}

    At first we have to solve the value of (3x-2)(3x+2)

    • \sf{(3x-2)(3x+2)   }
    • \sf{3x(3x+2)-2(3x+2)   }
    • \sf{9x^{2}+6x-6x-4   }
    • \sf{9x^{2}-4   }

    According to the question,

    • \sf{ (3x − 2)(3x + 2) = ax^{2} − b  }
    • \sf{9x^{2}-4=ax^{2}-b   }
    • \sf{9x^{2}=ax^{2}~and~-4=-b   }
    • \sf{a=9~and~b=4   }

    ⠀⠀⠀

    \sf{\bold{\green{\underline{\underline{Answer}}}}}

    Hence,

    The value of a is 9

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Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )