Question

(5q+r)^4 expand this term​

Answer 1

Answer:

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Step-by-step explanation:

$Using \:\: (a+b)^2 \:\: and: (a+b+c)^2 expansions:\\\\(a+b)^4=[(a+b)2]^2 \\\\=(a^2+2ab+b^2)^2 \\\\=(a^2)^2+(2ab)^2+(b^2)^2+2(a^2)(2ab)+2(2ab)(b^2)+2(b^2)(a^2) \\\\=a^4+b^4+4a^3b+6a^2b^2+4ab^3$

$Here\:a = 5q\:\:b=r\\\\(5q)^4 + (r)^4+4(5q)^3(r)+6(5q)^2(r)^2+4(5q)(r)^3\\\\625q^4+r^4+500q^3r+150q^2r^2+20qr^3$