Question

3y2-10y +8 factories this expression

Answer 1

Step-by-step explanation:

=3y²+10y+8

=3y²+6y+4y+8

=3y(y+2)+4(y+2)

=(y+2)(3y+4)

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Answer 2

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$\mathtt{\huge{\underline{\red{Answer\: :}}}}$

$\: \large \orange{ \bold{ \underline{step \: by \: step \: explaination : }}}$

Given:

• 3y²-10y+8........given quadratic equation

To Find :

• roots of the equation =?

Solution :

$\\ \qquad \implies \displaystyle \sf \: 3 {y}^{2} - 10y + 8 = 0$

$\\ \qquad\implies \displaystyle \sf \: {3y}^{2} - 6y - 4y + 8 = 0$

$\: \\ \qquad \implies \displaystyle \sf \: 3y(y - 2) - 4(y - 2) = 0$

$\: \\ \qquad \implies \displaystyle \sf \: (y - 2)(3y - 4) = 0$

$\: \\ \qquad \implies \displaystyle \sf \: y = 2 \: \: \: \: and \: \: \: y = \frac{4}{3}$

$\: \large \color{red}\boxed{ \underline{ \bf{the \: solution \: of \: this \: equation \: is \: y = 2 \: and \: y = \frac{4}{3} }}}$

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