Simplify : a^2 - 2a + {5a^2 - (3a - 4a^2)}

a 2 \- 2a \+ {5a 2 \- (3a \- 4a 2 )} = a 2 \- 2a \+ {5a 2 \- 3a \+ 4a 2 } = a 2 \- 2a \+ {(5a 2 \+ 4a 2 ) \- 3a} = a 2 \- 2a \+ {9a 2 \- 3a} = a 2 \- 2a \+ 9a 2 \- 3a = (a 2 \+ 9a 2 ) \+ ( \- 2a \- 3a) = 10a 2 \+ (\- 5a) = 10a 2 \- 5a Hence, a 2 \- 2a \+ {5a 2 \- (3a \- 4a 2 )} = 10a 2 \- 5a

Mathematics

Simplify:
a² - 2a + {5a² - (3a - 4a²)}

Algebraic Expressions

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Answer

a² - 2a + {5a² - (3a - 4a²)}

= a² - 2a + {5a² - 3a + 4a²}

= a² - 2a + {(5a² + 4a²) - 3a}

= a² - 2a + {9a² - 3a}

= a² - 2a + 9a² - 3a

= (a² + 9a²) + ( - 2a - 3a)

= 10a² + (- 5a)

= 10a² - 5a

Hence, a² - 2a + {5a² - (3a - 4a²)} = 10a² - 5a

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Mathematics

Simplify:
a² - 2a + {5a² - (3a - 4a²)}

Algebraic Expressions

Answer

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