Simplify : −3 (1 − X2) − 2{X2 − (3 − 2x2)}

Simplify : −3 (1 − x²) − 2{x² − (3 − 2x²)}

Sum

−3 (1 − x²) − 2 {x²− (3 − 2x²)}

= −3 + 3x² − 2 {x² − 3 + 2x²}

= −3 + 3x² − 2{3x² − 3}

= −3 + 3x² − 6x² + 6

= 3 − 3x²

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Simplification of Expressions

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Chapter 11: Algebraic Expressions - Exercise 11 (E) [Page 147]

Chapter 11 Algebraic Expressions
Exercise 11 (E) | Q 1.03 | Page 147

Evaluate : `(64)^(2/3) - root(3)(125) - 1/2^(-5) + (27)^(-2/3) xx (25/9)^(-1/2)`

Solve : 3(2^x + 1) - 2^x+2 + 5 = 0.

If (a^m)ⁿ = a^m .aⁿ, find the value of : m(n - 1) - (n - 1)

Prove that : `( a + b + c )/( a^-1b^-1 + b^-1c^-1 + c^-1a^-1 ) = abc`

Evaluate : `((x^q)/(x^r))^(1/(qr)) xx ((x^r)/(x^p))^(1/(rp)) xx ((x^p)/(x^q))^(1/(pq))`

Simplify : `"p"^2"x"-2{"px"-3"x"("x"^2-overline(3"a"-"x"^2))}`

Simplify: (x⁵ ÷ x²) × y²× y³

Write each of the following in the simplest form:
a² x a³ ÷ a⁴

Write the following in the simplest form:
(b^-2 - a^-2) ÷ (b^-1 - a^-1)

Simplify the following:

`(27 xx^9)^(2/3)`