Algebraic word problems are questions that require translating sentences to equations, then solving those equations. The equations we need to write will only involve. basic arithmetic operations. and a single variable. Usually, the variable represents an unknown quantity in a real-life scenario.

Millennium Prize Problems

• P versus NP.
• Hodge conjecture.
• Riemann hypothesis.
• Yang–Mills existence and mass gap.
• Navier–Stokes existence and smoothness.
• Birch and Swinnerton-Dyer conjecture.

Algebra (all content)

• Course summary.
• Introduction to algebra.
• Solving basic equations & inequalities (one variable, linear)
• Linear equations, functions, & graphs.
• Sequences.
• System of equations.
• Two-variable inequalities.
• Functions.

An identity is an equality that holds true regardless of the values chosen for its variables. They are used in simplifying or rearranging algebra expressions. By definition, the two sides of an identity are interchangeable, so we can replace one with the other at any time.

Answer. Both are completely different.

We can factor the difference or sum of two squares to be the product of two binomials, possibly using complex numbers. For example, a²-b²=(a+b)(a-b) while a²+b²=(a+bi)(a-bi).

2 Answers. Whereas a2−b2=(a+b)(a−b) is very simple, to factor a2+b2 requires the use of complex numbers.

Factorising is a way of writing an expression as a product of its factors using brackets. We do this by taking out any factors that are common to every term in the expression. Maths.

So my first observation was that |a| has to be greater than |b|. So only options that suffice this condition are C) and E). Also, if C) was correct, then we get a=5k; b=4k, 25k2−16k2=9k2.

similarly we need to add b2 to get whole square, Hence (a+b)2=a2+2ab+b2.