Question

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Answer 1

1) (5 + 4x)² – x² = (5 + 4x + x)(5 + 4x – x) = (5 + 5x)(5 + 3x)

2) (3a + b)² – (5a + 11)² = (3a + b + 5a + 11)(3a + b – 5a – 11) = (8a + b + 11)(–2a + b – 11)

3) (7 – 5m)² – (11 + 10m)² = (7 – 5m + 11 + 10m)(7 – 5m – 11 – 10m) = (5m + 18)(–15m – 4)

4) (5m + 13)² – 25m² = (5m + 13 – 5m)(5m + 13 + 5m) = 13(10m + 13)

5) (4r – 1)² – 36x¹⁰ = (4r – 1 + 6x⁵)(4r – 1 – 6x⁵)