Mendozasherylou295idn
Answered

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MULTIPLYING SPECIAL CASE POLYNOMIALS Directions: Find the products of each of the following
1. (x + 5)(x − 5) = ___________________________________________ 2. (n − 5) 2 = ___________________________________________ 3. (8a2 + 4)(8a2 − 4) = ___________________________________________ 4. (8a2 − 2)(8a2 + 2) = ___________________________________________ 5. (−6x − 7y2) 2 = ___________________________________________ pasagot po pls need ko napo ngayun ​

Sagot :

Diep99idn

[tex] \boxed{\underline{\large{\mathbb{DIRECTION:}}}}[/tex]

  • Find the products of each of the following.

[tex]\gray{⊱┈────────────────────┈⊰}[/tex]

✎ANSWERS WITH SOLUTIONS

1) (x + 5)(x - 5)

Apply Difference of Two Squares Formula :

[tex](a + b)(a - b) = a^{2} - b^{2} [/tex]

Then it will become :

[tex](x + 5)(x - 5) = x^{2} - 5^{2} [/tex]

To be exact :

[tex]5^{2} = 25[/tex]

[tex]\small\orange{{\:ANSWER:}}[/tex]

[tex]x^{2} - 25[/tex]

===========================================

2) (n - 5)2

Apply the distributive law : [tex]a(b - c) = ab - ac[/tex]

Then it will become :

[tex]2(n - 5) = 2n - 2 \: • \: 5[/tex]

To be exact :

[tex]2n - 2 \: • \: 5[/tex]

Multiply the numbers : [tex]2 \: • \: 5 = 10[/tex]

[tex]\small\orange{{\:ANSWER:}}[/tex]

[tex]2n - 10[/tex]

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3) (8a2 + 4)(8a2 - 4)

Apply Difference of Two Squares Formula :

[tex](a + b)(a - b) = a^{2} - b^{2} [/tex]

Then it will become :

[tex](8a^{2} + 4)(8a^{2} - 4) = (8a^{2})^{2} - 4^{2} [/tex]

To be exact :

[tex](8a^{2} )^{2} - 4^{2} [/tex]

[tex]\small\orange{{\:ANSWER:}}[/tex]

[tex]64a^{4} - 16[/tex]

===========================================

4) (8a2 - 2)(8a2 + 2)

Apply the Difference of Two Squares Formula :

[tex](a - b)(a + b) = a^{2} - b^{2} [/tex]

Then it will become :

[tex](8a^{2} - 2)(8a^{2} + 2) = (8a^{2})^{2} - 2^{2} [/tex]

[tex]\small\orange{{\:ANSWER:}}[/tex]

[tex]64a^{4} - 4[/tex]

===========================================

5)(-6x -7y2)2

Apply the Distributive Law : [tex]a(b - c) = ab - ac[/tex]

Then it will become :

[tex]2( - 6x - 7y^{2} ) = 2( - 6) - 2 \: • \: 7y^{2} [/tex]

[tex]\small\orange{{\:ANSWER:}}[/tex]

[tex] - 12x - 14y^{2} [/tex]

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