Question

Спростіть вираз:1) (x – 3)(x + 3) – x(x – 5);2) ( a+ 2) *2 + (a – 7)(a + 3)​

Answer 1

Відповідь:

1) 5x-9; 2)2a^2-17

Пояснення:

1)  = х^2-3^2-x^2+5x=5x-9.

2)  =a^2+4a+4+a^2+3a-7a-21= 2a^2 - 17.

Answer 2

1. (x – 3)(x + 3) – x(x – 5)

To simplify this expression, let's expand the terms and then combine like terms:

(x – 3)(x + 3) – x(x – 5) = x(x) + x(3) - 3(x) - 3(3) - x(x) + x(5)

Expanding the terms:

= x^2 + 3x - 3x - 9 - x^2 + 5x

Combining like terms:

= x^2 - x^2 + 3x - 3x + 5x - 9

Simplifying further:

= 5x - 9

Therefore, the simplified expression is 5x - 9.

2. (a + 2) * 2 + (a – 7)(a + 3)

To simplify this expression, let's expand the terms and then combine like terms:

(a + 2) * 2 + (a – 7)(a + 3) = 2(a) + 2(2) + (a – 7)(a) + (a – 7)(3)

Expanding the terms:

= 2a + 4 + a(a) - 7(a) + 3(a) - 21

Simplifying:

= 2a + 4 + a^2 - 7a + 3a - 21

Combining like terms:

= a^2 - 2a - 17

Therefore, the simplified expression is a^2 - 2a - 17.