Question

30x² + 103xy – 7y?
10. 12​

Answer 1

Answer:

Correct question :–

▪︎ Factorise : 30 x² + 103 xy - 7 y² = 0

ANSWER :–

▪︎ Factors are (15x - y) and (2x + 7y).

EXPLANATION :–

GIVEN :–

• A function 30x² + 103xy - 7y² = 0

TO FIND :–

• Factors = ?

SOLUTION :–

\begin{gathered} \\ \implies { \bold{30 {x }^{2} + 103xy - 7 {y}^{2} = 0}} \\ \end{gathered}

⟹30x

2

+103xy−7y

2

=0

• We should write this as –

\begin{gathered} \\ \implies { \bold{30 {x }^{2} + 105xy - 2xy- 7 {y}^{2} = 0}} \\ \end{gathered}

⟹30x

2

+105xy−2xy−7y

2

=0

\begin{gathered} \\ \implies { \bold{15x(2x + 7y) - y(2x + 7y) = 0 }} \\ \end{gathered}

⟹15x(2x+7y)−y(2x+7y)=0

\begin{gathered} \\ \implies { \bold{(15x - y)(2x + 7y) = 0 }} \\ \end{gathered}

⟹(15x−y)(2x+7y)=0

Hence , The factor of [30x² + 103xy - 7y²] is (15x - y)(2x + 7y)