lesson 1: special products
TRANSCRIPT
LESSON 1
LESSON 1SPECIAL PRODUCTS
Look at the pictures below and identify patterns on each picture.
97 X 103 =25 X 25 =99 X 99 X 99 =
97X103 = (100-3)(100+3) = 1002 32 = 10000 9 = 999125X25 = (20 + 5)(20 + 5) = 202 + 2(20)(5) + 52 = 400 + 200 + 25 = 625
99X99X99 = (100-1)3= 1003 + 3(100)2(-1)2+(-1)3= 10000000-30000+300-3= 970 299
Answer key
GROUP 1
GROUP 2
GROUP 3
GROUP 4
Answer key
Observe the following examples:(x-3)2 = x2-3x-3x+32 = x2-2(3x)+9 = x2-6x+9(x+5)2 = x2+5x+5x+52 = x2+2(5x)+25 = x2+10x+25(3x+4y)2= (3x)2+12xy+12xy+(4y)2= 9x2 + 2(12xy) + 16y2= 9x2 + 24xy + 16y2
PRODUCT RULE:(am)(an) = am+nRAISING A POWER TO A POWER:(am)n = amn
ANSWER KEY
REMEMBER:
ANSWER KEY LETS PRACTICE2
ANSWERS ACTIVITY11
ALWAYS REMEMBER THATMATH IS EASYYOU WILL PASSYOU WILL GET PERFECT
BELIEVE THIS AND ALWAYS PUT THIS IN YOUR MIND SO THAT THE UNIVERSE WILL CONIVE WITH YOUGOD BLESS US ALL
TOGETHER LETS READ IT ALOUDMATH IS EASY
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