Question

Simplify
(2x+5y)² - (x+3y)²​

Answer 1

$(a+b)^{2} =a^{2} +b^{2}+2*a*b$

Step-by-step explanation:

[tex](2x+5y)^{2} =(2x)^{2} +(5y)^{2}+2*2x*5y\\ (2x+5y)^{2} =4x^{2} +25y^{2}+20*x*y\\ [/tex]

$(x+3y)^{2} =(x)^{2} +(3y)^{2}+2*x*3y\\ (x+3y)^{2} =(x)^{2} +9y^{2}+6*x*y$

therefore

=$4x^{2} +25y^{2}+20*x*y-x^{2} -9y^{2} -6*x*y\\3x^{2} +16y^{2} +14*x*y$