Question

simplify 11x²(9x³-19) +3 And find its value for x=6​

Answer 1

Step-by-step explanation:

11x²(9x³-19) +3

$11 \times 6 \times 6(9 \times 6 \times 6 - 19) + 3 \\ 396(324 - 19) + 3 \\ 396(305) + 3 \\ 120780 + 3 \\ 120783$

Answer 2

Given:

An algebraic expression 11x²(9x³-19) +3.

To Find:

The expansion of the given expression and the value of the expression for x = 6 is?

Solution:

1. Consider the given expression 11x²(9x³-19) +3,

2. Expand the expression,

=> 11x²*9x³ -  11x²*19 + 3,

=> 99x^5 - 209x² + 3. ($a^m *a^n = a^{m+n}$).

=> The simplified version is 99$x^5$ - 209$x^2$ +3.

3. The value of the expression at x = 6 is,

=> 99 (6)^5 - 209(6)^2 + 3,

=> 99 * 7776 - 209*36 + 3,

=> 769824 - 7524 + 3,

=> 762300 + 3,

=> 762303.

Therefore, the simplified version of the given expression is 99x^5 - 209x^2 +3 and the value of the expression at x = 6 is 762303.