Expand and simplify (2x+5)(3+4x)(2x+5)(3+4x).

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Worked solution

2

1. Expand the product of the two brackets.

(2x+5)(3+4x)=2x(3)+2x(4x)+5(3)+5(4x)(2x+5)(3+4x)=2x(3)+2x(4x)+5(3)+5(4x)

=6x+8x2+15+20x=6x+8x^2+15+20x

2. Collect like terms and write in descending powers of $x$.

6x+8x2+15+20x=8x2+(6x+20x)+156x+8x^2+15+20x=8x^2+(6x+20x)+15

=8x2+26x+15=8x^2+26x+15

Answer

8x2+26x+158x^2+26x+15

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