11 Solve the following using the appropriate
identities.
A. 19 - h)²
B. (a + 3)(a - 3)
C. (3x + y)²
D. (4y + 5)(4y + 5)
F. 103²– 97²
E. 204²
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Answer:
A.(19-h)²
Using the identity:-(a-b)²=a²-2ab+b²
a=19, b=h
=(19)²-2(19)(h)+(h)²
=361-38h+h²
=h²-38h+361
B.(a+3)(a-3)
Using the identity:-(a+b)(a-b)=a²-b²
a=a, b=3
=(a)²-(3)²
=a²-9
C.(3x+y)²
Using the identity:-(a+b)²=a²+2ab+b²
a=3x, b=y
=(3x)²+2(3x)(y)+(y)²
=9x²+6xy+y²
D.(4y+5)(4y+5)
=(4y+5)²
Using the identity:-(a+b)²=a²+2ab+b²
a=4y, b=5
=(4y)²+2(4y)(5)+(5)²
=16y²+40y+25
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