How do you write y = (5x − 2)(2x + 3) in written in standard form?

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How do you write y = (5x − 2)(2x + 3) in written in standard form?

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Answer 1 · 2016-03-25T01:40:39

$y = 10 x^{2} + 11 x - 6$ $y = 10x^2 + 11x - 6$

Explanation:

Starting with
$y = (5 x - 2) (2 x + 3)$ $y=(5x-2)(2x+3)$

Expand (multiply out brackets):
$(a_{1} + a_{2}) (b_{1} + b_{2}) = a_{1} b_{1} + a_{1} b_{2} + a_{2} b_{1} + a_{2} b_{2}$ $(a_1+a_2)(b_1+b_2)=a_1b_1 + a_1b_2 + a_2b_1 + a_2b_2$

$y = 5 x \cdot 2 x + 5 x \cdot 3 - 2 \cdot 2 x - 2 \cdot 3$ $y = 5x*2x + 5x*3 -2*2x -2*3$
$y = 10 x^{2} + 15 x - 4 x - 6$ $y= 10x^2 + 15x - 4x -6$

Simplify (collect like terms)
$y = 10 x^{2} + 11 x - 6$ $y = 10x^2 + 11x - 6$

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How do you write y = (5x − 2)(2x + 3) in written in standard form?

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