Ex.14.3 Q10 Factorization - NCERT Maths Class 8

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Question

Q10. Find and correct the errors in the statement:

\[{{\left( 2x \right)}^{2}}+4\left( 2x \right)+7=2{{x}^{2}}+8x+7\]

Text Solution

What is known?

Incorrect mathematical statement.

What is unknown?

Correct mathematical statement.

Reasoning:

Solve \(L.H.S.\)

Steps:

\[\begin{align}L.H.S. &= {(2x)^2} + 4(2x) + 7 \\&= 4{x^2} + 8x + 7\\L.H.S.& \ne R.H.S\end{align}\]

The correct statement is \({(2x)^2} + 4(2x) + 7 = 4{x^2} + 8x + 7\)