Question

Expand the expression.(2x+5)^4​

Answer 1

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Answer 2

Answer:

16x^4+160x^3+600x^2+1000x+625

Explanation:

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

(a+b)^2=a^2+b^2+2ab

(2x+5)^2= (2x)^2+5^2+2(2x)(5)

             = 4x^2+25+20x

(2x+5)^4= (4x^2+25+20x)(4x^2+25+20x)

             =(4x^2)^2+25*4x^2+20x*4x^2+24*4x^2+25*25+25*20x+20x*4x^2+25*20X+20x*20x

= 16x^4+160x^3+600x^2+1000x+625