Find and correct the errors in the statement: (2x)^2 + 5x = 4x + 5x = 9x
Answers
Given :
(2x)² + 5x = 4x + 5x = 9x
Concept :
Common errors we done by solving algebraical expression and equation:
Error 1
Coefficient 1 of a term is usually not written. So we often ignore that. But while adding like terms, we should include it in the sum.
Error 2
When we multiply the expression enclosed in a bracket by a constant (or a variable) outside, we usually applied the multiplication to the first term only. This is the wrong calculation. Each term of the expression has to be multiplied by the constant (or the variable).
Error 3
when we square a monomial, we usually ignored the numerical coefficient. This is the wrong method. The numerical coefficient and each factor has to be squared.
Error 4
when we square a binomial, we usually do not apply the proper identity. This is the wrong approach. The right identity should be used.
Error 5
While dividing a polynomial by a monomial, We usually don’t divide each term of the polynomial in the numerator by the monomial in the denominator.
Solution:
(2x)² + 5x = 4x + 5x = 9x
LHS = (2x)² + 5x = 4x² + 5x
RHS = 4x + 5x = 9x
Third = 9x
LHS ≠ RHS = third part
Correct statement :
(2x)² + 5x = 4x² + 5x
Hope this answer will help you….
Some more questions related to this chapter :
Find and correct the errors in the statement: (3x + 2)^2 = 3x^2 + 6x + 4
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Find and correct the errors in the statement: 3x^2 / 3x^2 = 0
https://brainly.in/question/17209298
Answer:
distance = AB + BC + CD + DE + EF = 3 + 1 + 1.5 + 0.5 + 0.5 = 6.5 km
b) Initial point is A and the final point is F, hence the magnitude of the displacement is equal to the distance AF which is calculated by applying Pythagora's theorem to the triangle AHF as shown in the figure below
