Question

(x-3)(x+5)-(x^2+x)=? a (a-3)+(a+1)(a+4)=?

Answer 1

(Х-3)(х+5)-(х^2+х)=х^2+5х-3х-15-х^2-х=х-15; а(а-3)+(а+1)(а+4)=а^2-3а+а^2+4а+а+4=2а^2+2а+4

Answer 2

(x-3)(x+5)-(x²+x)=x²+5x-3x-15-x²-x=x-15
a(a-3)+(a+1)(a+4)=a²-3a+a²+4a+a+4=2a²+2a+4

Answer 3

Let's simplify each expression step by step:

1. (x - 3)(x + 5) - (x^2 + x)

Expanding the first part:

= x(x) + x(5) - 3(x) - 3(5) - (x^2 + x) = x^2 + 5x - 3x - 15 - x^2 - x (Distribute and simplify) = x^2 + 2x - 15 (Combine like terms)

2. (a - 3) + (a + 1)(a + 4)

Expanding the second part:

= a(a) + a(4) + 1(a) + 1(4) - 3 = a^2 + 4a + a + 4 - 3 (Distribute and simplify) = a^2 + 5a + 1 (Combine like terms)

So, the simplified expressions are:

1. (x - 3)(x + 5) - (x^2 + x) = x^2 + 2x - 15

2. (a - 3) + (a + 1)(a + 4) = a^2 + 5a + 1