Question

Factors of 4 + 4x – x² – x³ are ______.

पर्याय

• (2 + x)(2 – x)(1 + x)

• (x – 2)(1 + x)(2 + x)

• (x + 2)(x – 2)(1 – x)

• (2 + x)(x – 1)(2 – x)

Answer 1

Factors of 4 + 4x – x² – x³ are (2 + x)(2 – x)(1 + x).

Explanation:

4 + 4x – x² – x³ = 4(1 + x) – x²(1 + x)

= (1 + x)(4 – x²)

= (1 + x)(2² – x²)   ...[∵ a² – b² = (a – b)(a + b)]

= (1 + x)(2 – x)(2 + x)