What is expand 4(72x^7ln(x)+17x^7)x^2 ?

The solution to expand 4(72x^7ln(x)+17x^7)x^2 is 288x^9ln(x)+68x^9

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expand 4(72x^7ln(x)+17x^7)x^2

expand

4 (72 x^{7} ln (x) + 17 x^{7}) x^{2}

288 x^{9} ln (x) + 68 x^{9}

Solution steps

4 (72 x^{7} ln (x) + 17 x^{7}) x^{2}

= 4 x^{2} (72 x^{7} ln (x) + 17 x^{7})

Apply the distributive law:

a (b + c) = ab + a c

a = 4 x^{2}, b = 72 x^{7} ln (x), c = 17 x^{7}

= 4 x^{2} \cdot 72 x^{7} ln (x) + 4 x^{2} \cdot 17 x^{7}

= 4 \cdot 72 x^{7} x^{2} ln (x) + 4 \cdot 17 x^{7} x^{2}

Simplify

4 \cdot 72 x^{7} x^{2} ln (x) + 4 \cdot 17 x^{7} x^{2} : 288 x^{9} ln (x) + 68 x^{9}

= 288 x^{9} ln (x) + 68 x^{9}

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What is expand 4(72x^7ln(x)+17x^7)x^2 ?
The solution to expand 4(72x^7ln(x)+17x^7)x^2 is 288x^9ln(x)+68x^9