The correct answer is: [D]: " -3x⁶ − 4x⁵ + 2x² + 8x + 4 " .
________________________________________________
Explanation:
________________________________________________
Given:
________________________________________________
" ( 4x² + 3x + 4) + ( -3x⁶ − 4x⁵ − 2x² + 5x) " ;
Rewrite as:
" ( 4x² + 3x + 4) + 1( -3x⁶ − 4x⁵ − 2x² + 5x) " ;
Note: The "1" is implied — since "1", multiplied by any value, is equal to that same value.
__________________________________________________
Note the "distributive property of multiplication" :
_________________________________________________
a(b + c) = ab + ac ;
a(b − c) = ab <span>− ac ;
</span>_________________________________________________
So, consider the following portion of the expression:
_________________________________________________
" + 1 ( -3x⁶ − 4x⁵ − 2x² + 5x) " ;
= (+1 * -3x⁶) − (1 * 4x⁵) − (1 * 2x²) + (1 * 5x)
= − 3x⁶ − 4x⁵ − 2x² + 5x ;
Now, bring down the rest of the expression:
( 4x² + 3x + 4) − 3x⁶ − 4x⁵ − 2x² + 5x ;
= 4x² + 3x + 4 − 3x⁶ − 4x⁵ − 2x² + 5x
Combine the "like terms" ;
+ 4x² − 2x² = + 2x² ;
+ 3x + 5x = 8x ;
And we have:
" -3x⁶ − 4x⁵ + 2x² + 8x + 4 " ;
→ which is: Answer choice: [D]: " -3x⁶ − 4x⁵ + 2x² + 8x + 4 " .
__________________________________________________
16 + 8 = 24. 24 ÷ 4 = 6. 24 = Roadrunner. 6 = Lovebird
The Lovebird is 6 inches long
Left 4. Or x-4 because the way it moves
Answer:
1059
Step-by-step explanation:
Using BODMAS rule,
893 + 83 x 2
= 893 + ( 83 x 2 )
= 893 + 166
= 1059
the first option is the correct one