Assertion (A): \frac{5x + 15}{5} = x + 15 Reason (R): When a polynomial is divided by a monomial, every term of the polynomial is divided by the monomial.

Question

Assertion-ReasonDivision of Polynomial by MonomialCommon Errors While Simplifying Algebraic Expressions

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(15m^4 - 10m^3 + 5m^2) \div 5m^2 =

Which of the following simplifications is correct?

(x + y)^2 = x^2 + y^2 for all values of x and y.

True/FalseCommon Errors While Simplifying Algebraic Expressions

x is a factor of x^2 + 5.

Divide 18p^3q^2 - 27p^2q^3 + 9p^2q^2 by 9p^2q^2.

Find and correct the error: 3(x - 4) = 3x - 4