plz solve this step by step plz help me for my exam
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7) p = 1/5
8) 16a²+4b²+9c²-16ab-12bc-24ac
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The answer is in picture ✅✅
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Step-by-step explanation:
7. (36x² - p²) = (6x + 1/5) ( 6x- 1/5)
⇒ (36x² - p²) = (6x)² - (1/5)² applying (a+b) (a-b) = a² - b²
⇒36x² - p² = 36x² - (1/5)²
Equating corresponding terms
we can say p² = (1/5)²
⇒ p = 1/5
8. (4a-2b-3c)²
=[ (4a-2b) - (3c)]²
applying ( x-y) ² = x² + y² - 2xy
= (4a - 2b)² + (3c)² - 2 ( 4a - 2b) (3c)
= [ (4a)² + (2b)² - 2 ( 4a) (2b) ] + 9c² - 2 ( 12ac - 6bc)
= 16a² + 4b² - 16ab + 9c² - 24 ac + 12bc
= 16a² + 4b² +9c² - 16ab + 12bc - 24ac
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