Question

d. (2x + 5y) (2x + 3y)
e. (x - 5) (x - 4)
f. (p + 10) (p - 11)
algebraic expressions
identity please tell​

Answer 1

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Answer 2

Question:-(d)

$( 2 x + 5 y ) ( 2 x + 3 y )$

Answer:-

$( 2 x + 5 y ) ( 2 x + 3 y ) \\ \ \ \ \\ = 2x \times 2x + 2x \times 3y + 5y \times 2x + 5y \times 3y \\ \ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 4x {}^{2} + 6xy + 10yx + 15y {}^{2} \\ \\ = 4x {}^{2} + 1 6xy + 15y {}^{2}$

Question:-(e)

$( x - 5 ) ( x - 4 )$

Answer:-

$( x - 5 ) ( x - 4 ) \\ \ = x(x - 4) - 5(x - 4) \\ \ = \: \: \: x^{2}-4x-5x+20 \\ = x^{2}-9x+20(answer)$

Question:-(f)

$(p + 10)(p - 11)$

Answer:-

$(p + 10)(p - 11) \\ = p(p - 11) + 10(p - 11) \\ = p {}^{2} - 11p + 10p - 110 \\ = p {}^{2} - p - 110(answer)$

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