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3 years ago

Help me solve this question and thanks !

Mathematics

2 answers:

ludmilkaskok [199]3 years ago

8 0

Answer:

Step-by-step explanation:

x^2+8x+15

=x^2+(5+3)x+15

=x^2+5x+3x+15

=x(x+5)+3(x+5)

=(x+5)(x+3)

morpeh [17]3 years ago

4 0

$(x + 3)(x + 5)$ ✅

$\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}$

${x}^{2} + 8x + 15 \\ ={x}^{2} + 5x + 3x + 15$

Taking $x$ as common from first two terms and 3 from last two terms, we have

$=x(x + 5) + 3(x + 5)$

Taking the factor $(x+5)$ as common,

$= (x + 3)(x + 5)$

$\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}$

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2 years ago

The perimeter of a rectangle is 72 cm. The length is 3 more than twice the width What

solmaris [256]

<h3>Solution</h3>

Given :-

Perimeter of rectangle = 72 cm
The length is 3 more than twice the width.

Find :-

Dimensions of rectangle

<h3 /><h3>Explantion</h3>

Using Formula

$\boxed{\underline{\tt{\red{\:(perimeter_{rectang}\:=\:2\times (Length+Width)}}}}$

Let,

Length of Rectangle = x cm
Breadth of Rectangle = y cm

According to question,

==> perimeter of Rectangle = 72

==> 2(x+y) = 72

==> x + y = 72/2

==> x + y = 36_________________(1)

Again,

==> x = 2y + 3

==> x - 2y = 3__________________(2)

Subtract equ(1) & equ(2)

==> y + 2y = 36 - 3

==> 3y = 33

==> y = 33/3

==> y = 11

keep in equ(1)

==> x - 2×11 = 3

==> x = 3 + 22

==> x = 25

<h3>Hence</h3>

Length of Rectangle = 25 cm
Width of Rectangle = 11 cm

<h3 />

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2 years ago

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Anton [14]

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