[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]
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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]
===========================================
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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