Question

Hlpppppp!!!!!!!!!!!!!!!!!!!!!!!!
w steps pls

Answer 1

Answer: S=6x²+25x+14

Explanation:

`\displaystyle\\S=S_1+2S_2\\S_1=(2x+7)(x+3)\\S_1=(2x)(x)+(7)(x)+(2x)(3)+(7)(3)\\S_1=2x^2+7x+6x+21\\S_1=2x^2+13x+21\\\\S_2=(((2x+7))/(2))(4x-2) )/(2) \\\\S_2=((2x+7)(4x-2))/((2)(2)) \\\\S_2=((2x)(4x)+(7)(4x)+(2x)(-2)+(7)(-2))/((2)(2)) \\\\S_2=(8x^2+28x-4x-14)/((2)(2)) \\\\S_2=(8x^2+24x-14)/((2)(2)) \\\\S_2=((2)(4x^2+12x-7))/((2)(2)) \\\\S_2=(4x^2+12x-7)/(2) \\Hence,\\S=2x^2+13x+21+2*(4x^2+12x-7)/(2) \\S=2x^2+13x+21+4x^2+12x-7\\S=6x^2+25x+14`