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10 November, 07:48

Simplify the expression, then evaluate when x=5 and y=6. x (y+4) + 3 (2x+7y)

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  1. 10 November, 08:09
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    Simplification

    x (y+4) + 3 (2x+7y) = xy + 10x + 21y

    = x (y + 10) + 21y

    On evaluation when x=5 and y=6,

    The expression is equal to 206

    Step-by-step explanation:

    Note that x and y are unknown variables.

    On expansion,

    x (y+4) + 3 (2x+7y)

    = xXy + xX4 + 3X2x + 3X7y

    = xy + 4x + 6x + 21y

    = xy + 10x + 21y

    On factorising,

    xy + 10x + 21y = x (y + 10) + 21y

    Evaluation when x=5 and y = 6

    We substitute the given values of x and y into the simplified expression

    xy + 10x + 21y

    = 5X6 + 10X5 + 21X6

    = 30 + 50 + 126

    = 206

    Therefore, on evaluation of the given expression, when x=5 and y=6, we get 206
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