5. From the product of (2L + 3m) and (3L + 4m) subtract the product of (7L + 3m) and (L + 2m).
6. Add the product of 9x^4(x² – 2), 5x^6(2x + 3) and (x^3 – 3x^2)(4x² – 3x^3).
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Answer:
5) -1L²-6m²
6) 135x¹²-180x¹¹-270x¹⁰+13x⁵-12x⁴+87x²
Step-by-step explanation:
5) = 6L²+17Lm+12m² - (7L²+17Lm+6m²)
= 6L²+17Lm+12m² - 7L²-17Lm-6m²
= 6L²-7L²+17Lm-17Lm+12m²-6m²
= -1L²-6m²
6) = 90x¹³+135x¹²-180x¹¹-270x¹⁰+(-3x²+13x⁵-12x⁴)
= 90x¹³+135x¹²-180x¹¹-270x¹⁰-3x²+13x⁵-12x⁴
= 135x¹²-180x¹¹-270x¹⁰+13x⁵-12x⁴+87x²
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