Question

Factories ( x+2) (x-3)(x-7)(x-2) +64 ​

Answer 1

Step-by-step explanation:

( x+2) (x-3)(x-7)(x-2) +64

Using (a - b)(a + b) = a²-b² , simplify the product

(x² - 4) × (x - 3) × (x - 7) + 64

Multiply the parentheses

(x³ - 3x² - 4x + 12) × (x - 7 )+ 64

Multiply the parentheses

x⁴-7x³-3x³+21x²-4x²+28x+12x-84 +64

Collect like terms

x⁴-10x³+21x²-4x²+28x+12x-84+64

Collect like terms

x⁴ - 10x³ + 17x² + 40x - 84 + 64

Calculate the terms

Solution:

x⁴ - 10x³ + 17x² + 40x - 20

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