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19 June, 08:59

For the polynomial below, write down an expression such that if you applied the distributive property to your expression, it would give the result presented.

3x^3 + 6x^4 + 9x^6

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  1. 19 June, 12:32
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    The expression to apply distributive property is 3x³ (1+2x²+3x³).

    Step-by-step explanation:

    The given polynomial expression is 3x^3 + 6x^4 + 9x^6.

    The distributive property is known as law of multiplication. The general form is given by a (b+c) = ab+bc. This means that, the outside term must be multiplied with each term inside the bracket.

    To transform into distributive form:

    Take x³ outside as a common term, The expression becomes x³ (3+6x²+3x³) Again taking 3 outside as a common term, The expression becomes 3x³ (1+2x²+3x³)

    The expression 3x³ (1+2x²+3x³) is equivalent to the given expression 3x^3 + 6x^4 + 9x^6 when distributive property is applied.
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