Answer:
1.) 5x^3 - 7x^2/2 + 7x/2 - 3/2
2.) No. The product of 1/2x_1/4 and 5x^2-2x +6 = 5x^3/2 - 9x^2/4 + 7x/2 - 3/2. The product of 1/4-1/2 and 5x^2 - 2x + 6 = -5x^2/4 + x/2 - 3/2.
Answer:
Step-by-step explanation:
In multiplying, we would apply the distributive property by multiplying each term in one bracket by each term in the other bracket.
1) the product of
(x/2 - 1/4)(5x²-2x + 6)
= (x/2×5x²) - (2x × x/2) + (6 × x/2) - (1/4×5x²) + (2x × 1/4) - (1/4 × 6)
= 5x²/2 - 2x²/2 + 3x - 5x²/4 + x/2 - 3/2
= 5x²/2 - 2x²/2 - 5x²/4 + 3x + x/2 - 3/2
= (10x² - 4x² - 5x²)/4 + (6x + x)/2 - 3/2
= x²/4 + 7x/2 - 3/2
2)the product of
(1/4 - 1/2)(5x²-2x + 6)
= - 1/4(5x²-2x + 6)
= (- 1/4 × 5x²) + (1/4 × 2x) - (1/4 × 6)
= - 5x²/4 + x/2 - 3/2
The products are not the same.
