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3 years ago

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Winston drove a total of 248 miles on monday. he drove 70 fewer miles in the morning than he did in the afternoon. how many mile

s did he drive in the afternoon

1 answer:

Zigmanuir [339]3 years ago

5 0

He drove 178 miles in the afternoon. 248-70=178

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<u>Part 1</u>

Set B

<u>Part 2</u>

We can use the FOIL method to multiply these expressions:

$\textsf{FOIL}: \quad(a+b)(c+d)=ac+ad+bc+bd$

However, as all the expression are in the format $(a+b)^2$ , we can use the shortcut: $(a+b)^2=a^2+2ab+b^2$

<u>Part 3</u>

Using the shortcut to find the products:

$\begin{aligned}\implies (x+5)(x+5)& =(x+5)^2\\ & =x^2+2(x)(5)+5^2\\ & =x^2+10x+25\end{aligned}$

$\begin{aligned}\implies (2x+9)(2x+9) & = (2x+9)^2\\ & = (2x)^2+2(2x)(9)+9^2\\ & = 4x^2+36x+81\end{aligned}$

$\begin{aligned}\implies (x+1)^2 & = x^2+2(x)(1)+1^2\\ & = x^2+2x+1\end{aligned}$

<u>Part 4</u>

A new example of a multiplication problem based on the structure of Set B is: $(3x+2)(3x+2)$

$\begin{aligned}\implies (3x+2)(3x+2) & = (3x+2)^2\\ & = (3x)^2+2(3x)(2)+2^2\\ & = 9x^2+12x+4\end{aligned}$

<u>Part 5</u>

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