From the sum of a2 + 3b2 – 5c2 and 8a2 + 15b2 – 14c2 subtract the sum of 7a2 – 2b2 + 5c2 and 4a2 – 3b2 + 2c2.​

1 thought on “From the sum of a2 + 3b2 – 5c2 and 8a2 + 15b2 – 14c2 subtract the sum of 7a2 – 2b2 + 5c2 and 4a2 – 3b2 + 2c2.​”

1. Answer:

   [tex]\tt{SOLUTION:-}[/tex]

   [tex] \implies \tt \purple{ {a}^{2} + {3b}^{2} – {5c}^{2} + {8a}^{2} + {15b}^{2} – {14c}^{2} }[/tex]

   [tex]\mathtt{ADD \: ALL \: LIKE \: TERMS}[/tex]

   [tex] \implies \tt \purple{ {a}^{2} + {8a}^{2} + {3b}^{2} + {15b}^{2} – {5c}^{2} – {14c}^{2} + {15b}^{2} }[/tex]

   [tex] \implies \tt \purple{ {9a}^{2} + {18b}^{2} – {19c}^{2}}[/tex]

   [tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

   [tex]\mathtt{NOW, ADD \: OTHER \: ONES}[/tex]

   [tex] \implies \tt \purple{ {7a}^{2} – {2b}^{2} + {5c}^{2} + {4a}^{2} – {3b}^{2} + {2c}^{2} }[/tex]

   [tex] \implies \tt \purple{ {7a}^{2} + {4a}^{2} – {2b}^{2} – {3b}^{2} + {5c}^{2} + {2c}^{2} }[/tex]

   [tex] \implies \tt \purple{ {11a}^{2} – {5b}^{2} + {7c}^{2} }[/tex]

   [tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

   [tex]\mathtt{NOW \: SUBTRACT}[/tex]

   [tex] \implies \tt \purple{ {9a}^{2} + {18b}^{2} – {19c}^{2} – (11 {a}^{2} – {5b}^{2} + {7c}^{2}) }[/tex]

   [tex] \implies \tt \purple{ {9a}^{2} + {18b}^{2} – {19c}^{2} – 11 {a}^{2} + {5b}^{2} – {7c}^{2}) }[/tex]

   [tex] \implies \tt \purple{ {9a}^{2} – 11 {a}^{2} + {18b}^{2} + {5b}^{2} – {19c}^{2} – {7c}^{2} }[/tex]

   [tex] \implies \tt \purple{ { – 3a}^{2} + {23b}^{2} – {26c}^{2} }[/tex]

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