What is the standard form of $y = (x + 7) (2 x + 15) - {(x - 7)}^{2}$ $y= (x+7)(2x+15)-(x-7)^2$ ?

Question

What is the standard form of $y = (x + 7) (2 x + 15) - {(x - 7)}^{2}$ $y= (x+7)(2x+15)-(x-7)^2$ ?

1 Answer

Impact of this question

1707 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-12-24T06:15:47

$y = x^{2} + 43 x + 56$ $y=x^2+43x+56$

Explanation:

standard form is $y = a x^{2} + b x + c$ $y=ax^2+bx+c$

first multiply/distribute to expand everything:
$y = (x + 7) (2 x + 15) - {(x - 7)}^{2}$ $y=(x+7)(2x+15)-(x-7)^2$
$y = x (2 x + 15) + 7 (2 x + 15) - (x - 7) (x - 7)$ $y=x(2x+15)+7(2x+15)-(x-7)(x-7)$
$y = 2 x^{2} + 15 x + 14 x + 105 - (x (x - 7) - 7 (x - 7))$ $y=2x^2+15x+14x+105-(x(x-7)-7(x-7))$
$y = 2 x^{2} + 29 x + 105 - (x^{2} - 7 x - 7 x + 49)$ $y=2x^2+29x+105-(x^2-7x-7x+49)$

combine like terms as you go

$y = 2 x^{2} + 29 x + 105 - x^{2} + 14 x - 49$ $y=2x^2+29x+105-x^2+14x-49$
$y = x^{2} + 43 x + 56$ $y=x^2+43x+56$

Science

Math

Humanities

... and beyond

What is the standard form of $y = (x + 7) (2 x + 15) - {(x - 7)}^{2}$ $y= (x+7)(2x+15)-(x-7)^2$ ?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

What is the standard form of y=(x+7)(2x+15)−(x−7)2 y= (x+7)(2x+15)-(x-7)^2?

1 Answer

Explanation:

Related questions

Impact of this question

What is the standard form of $y = (x + 7) (2 x + 15) - {(x - 7)}^{2}$ $y= (x+7)(2x+15)-(x-7)^2$ ?