문자와 식 전체 문제

Mixed Practice

$(7p+10)(7p-10)$

Mixed Practice

$(3y+8)(3y-8)$

Mixed Practice

$(4{m}^{2}-3m-7){m}^{2}$

Mixed Practice

$(15{c}^{2}-4c+5){c}^{4}$

Mixed Practice

$(5a+7b)(5a+7b)$

Mixed Practice

$(3x-11y)(3x-11y)$

Mixed Practice

$(4y+12z)(4y-12z)$

Mental math You can use binomial multiplication to multiply numbers without a calculator. Say you need to multiply 13 times 15. Think of 13 as $10+3$ and 15 as $10+5$.

• ⓐ Multiply $(10+3)(10+5)$ by the FOIL method.
• ⓑ Multiply $13\cdot 15$ without using a calculator.
• ⓒ Which way is easier for you? Why?

Mental math You can use binomial multiplication to multiply numbers without a calculator. Say you need to multiply 18 times 17. Think of 18 as $20-2$ and 17 as $20-3$.

• ⓐ Multiply $(20-2)(20-3)$ by the FOIL method.
• ⓑ Multiply $18\cdot 17$ without using a calculator.
• ⓒ Which way is easier for you? Why?

Which method do you prefer to use when multiplying two binomials: the Distributive Property, the FOIL method, or the Vertical Method? Why?

Which method do you prefer to use when multiplying a trinomial by a binomial: the Distributive Property or the Vertical Method? Why?

Multiply the following:

$\begin{array}{c}(x+2)(x-2) \\ (y+7)(y-7) \\ (w+5)(w-5)\end{array}$

Explain the pattern that you see in your answers.

Multiply the following:

$\begin{array}{c}(m-3)(m+3) \\ (n-10)(n+10) \\ (p-8)(p+8)\end{array}$

Explain the pattern that you see in your answers.

Multiply the following:

$\begin{array}{c}(p+3)(p+3) \\ (q+6)(q+6) \\ (r+1)(r+1)\end{array}$

Explain the pattern that you see in your answers.

Multiply the following:

$\begin{array}{c}(x-4)(x-4) \\ (y-1)(y-1) \\ (z-7)(z-7)\end{array}$

Explain the pattern that you see in your answers.

Simplify: ⓐ ${9}^{2}$ ⓑ ${(-9)}^{2}$ ⓒ $-{9}^{2}.$

Multiply: ${(x+5)}^{2}.$

Multiply: ${(x+9)}^{2}.$

Multiply: ${(y+11)}^{2}.$

Multiply: ${(y-3)}^{2}.$