Answer:
1). 15 + 2g - g²
2). y(y² + 4y + 3)
3). x² - 9
4). w² + 8w + 13
5). 2y²+5y-14
Step-by-step explanation:
1) (3 + g)(5 - g)
= 5(3 + g) - g(3 + g)
= 15 + 5g - 3g - g²
= 15 + 2g - g²
2) (y² + y)(y + 3)
= y(y² + y) + 3(y² + y)
= y³ + y² + 3y² + 3y
= y(y² + 4y + 3)
3) (x - 3)(x + 3)
= x(x - 3) + 3(x - 3)
= x² - 3x + 3x - 9
= x² - 9
4) (w+3)(w+4)+(w+2)(w+7)
= w(w+3)+4(w+3) + w(w+7)+2(w+7)
= w² + 3w + 4w + 12 + w² + 7w + 2w + 14
= 2w² + 16w + 26
= w² + 8w + 13
5) (3y-5)(y+4)-(y-3)(y-5)
= 3y(y+4)-5(y+4) - y(y-3)-5(y-3)
= 3y²+12y-5y-29-y²+3y-5y+15
= 2y²+5y-14
