Algebraic Expre...

The value of $$(-5{x}^{2}y) \times (-\dfrac{2}{3} x{y}^{2}z) \times (\dfrac{8}{15} xy{z}^{2}) \times (-\dfrac{1}{4} z)$$ is ______. 

Using identities, evaluate:
$$71^2$$.

Find the product $$24x^2(1-2x)$$ and evaluate if for $$x=2$$

The value of $${ \left( 1.02 \right)  }^{ 2 }+{ \left( 0.98 \right)  }^{ 2 }$$, corrected to three decimal places is:

Factorise : $${ (ax+by) }^{ 2 }+{ (2bx-2ay) }^{ 2 }-6abxy$$

If $$xy=20$$ and $$(x+y)^{2}=70$$, then $$x^{2}+y^{2}$$ is equal to

Product of the following monomials $$4p$$, $$- 7q^{3}$$, $$-7pq$$ is

If $$x + y = 2013$$ and $$\frac{1}{x}+\frac{1}{y}=2013$$, what is the value of xy?

Simplify the following expression:  
$$(3x^2 * 7x^7)+ (2y^3 * 9y^{12})$$

Simplify the following expression:
$$(2x^4y^7m^2z) ^{TM} (5x^2y^3m^8)$$